CHAG Publications

Books

Pei Dang, Min Ku, Tao Qian, Luigi G. Rodino, (Eds.): New Trends in Analysis and Interdisciplinary Applications(www.springer.com), Birkhaeuser Basel, 2017.

Book Chapters

P. Cerejeiras, A. Fonseca, U. Kähler, N. Vieira: Fischer decomposition in generalized fractional Clifford. Analysis(hdl://10773/18684), F. Colombo, I. Sabadini, D.C. Struppa and M. Vajiac, Advances in Complex Analysis and Operator Theory, 37-53, Birkhäuser, Basel, 2017.

M. Ferreira, N. Vieira: Multidimensional time fractional diffusion equation (hdl://10773/18424), C. Constanda, P.D. Lamberti, P. Musolino and M.D. Riva, Integral Methods in Science and Engineering-Vol.1, 107-117, Birkhäuser, Bassel, 2017.

Papers in International Journals with referees

Aceto, L., Cação,I: A matrix approach to Sheffer polynomials(hdl.handle.net), Journal of Mathematical Analysis and Applications, 446, 2017, 87-100.

Aceto, L., Malonek, H., Tomaz, G.: Matrix approach to hypercomplex Appell polynomials(hdl.handle.net), Applied Numerical Mathematics, 116, 2017, 2-9.

D. Alpay, P. Cerejeiras, U. Kaehler: Gleason’s problem associated to the fractional Cauchy-Riemann operator, Fueter series, Drury-Arveson space and related topicshdl://10773/18243. , Proceedings of the American Mathematical Society, 145, 2017, 4821-4835.

Amílcar Branquinho, Ana Foulquié Moreno, A. Mendes: Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials. (cf. . http://hdl.handle.net/10773/21344), Integral Transforms and Special Functions, 28-1, 2017, 74-90.

D. Bryukhov, U. Kaehler: The Static Maxwell System in Three Dimensional Axially Symmetric Inhomogeneous Media and Axially Symmetric Generalization of the Cauchy-Riemann System hdl://10773/18247. , Advances in Applied Clifford Algebras, 27, 2017, 993-1005.

Cação, I., Falcão, M. I., Malonek, H. R.: Hypercomplex polynomials, Vietoris’ rational numbers and a related integer numbers sequence (hdl.handle.net), Complex Analysis and Operator Theory, 11 (5), 2017, 1059-1076.

Cação, I., Falcão, M.I., Malonek, H.R.: Three-term recurrence relations for systems of Clifford algebra-valued orthogonal polynomials (hdl.handle.net), Advances in Applied Clifford Algebras, 27, 2017, 71-85.

P. Cerejeiras, A. Fonseca, M. Vajiac, N. Vieira: Fischer decomposition in generalized fractional ternary Clifford analysis (hdl://10773/17747), Complex Analysis and Operator Theory, 11(5), 2017, 1077-1093.

P. Cerejeiras, U. Kähler, M. Ku: Hilbert boundary value problems with Fermionic weight in R^3 hdl://10773/17232. , Advances in Applied Clifford Algebras, 27, 2017, 87-98.

Cheng, Wanqing, Ryan, John, Kähler, Uwe: Spherical Pi-type operators in Clifford analysis and applications hdl://10773/17745. , Complex Analysis and Operator Theory, 11, 2017, 1095-1112.

S.L. Eriksson, H. Orelma, N. Vieira: Two-sided hypergenic functions (hdl://10773/17234), Advances in Applied Clifford Algebras, 27(1), 2017, 111-123.

M. Ferreira: Harmonic Analysis on the Proper Velocity gyrogroup (hdl.handle.net), Banach J. Math. Anal, 11(1), 2017, 21-49.

M. Ferreira, M.M. Rodrigues, N. Vieira: Fundamental solution of the time-fractional telegraph Dirac operator (hdl://10773/21071), Mathematical Methods in the Applied Sciences, 40(18), 2017, 7033-7050.

M. Ferreira, N. Vieira: Fundamental solutions of the time fractional diffusion-wave and parabolic Dirac operators. (hdl.handle.net), J. Math. Anal. Appl., 447(1), 2017, 329-353.

M. Ferreira, N. Vieira: Eigenfunctions and fundamental solutions of the fractional Laplace and Dirac operators: the Caputo case (hdl://10773/18083), Complex Variables and Elliptic Equations, 62(9), 2017, 1237-1253.

S. Hartmann: Relaxed quaternionic Gabor expansions at critical densityhdl://10773/14592. , Mathematical Methods in the Applied Sciences, 40, 2017, 1666-1678.

S. Hartmann, N. Gomes, U. Kaehler: Compressed Sensing for Quaternionic Signals hdl://10773/16755. , Complex Analysis and Operator Theory, 11, 2017, 417-455.

U. Kähler, M. Ku, T. Qian: Schwarz Problems for Poly-Hardy Space on the Unit Ball http:, Results in Mathematics, 71, 2017, 801-823.

M. Ku, U. Kaehler: Numerical Null-Solutions to Iterated Dirac Operator on Bounded Domains hdl://10773/16756 , Complex Analysis and Operator Theory, 11, 2017, 307-328.

M. Ku, Y. Wang, F. He, U. Kaehler: Riemann–Hilbert Problems for Monogenic Functions on Upper Half Ball of R^4 hdl://10773/18246. , Advances in Applied Clifford Algebras, 27, 2017, 2493-2508.

D. Legatiuk, K. Guerlebeck, U. Kaehler: Error Estimates for the Coupling of Analytical and Numerical Solutions hdl://10773/18250. , Complex Analysis and Operator Theory, 11, 2017, 1221-1240.

H. Orelma, N. Vieira: Homogeneous $(alpha, k)$-polynomial solutions of the fractional Riesz system in hyperbolic space (hdl://10773/21845), Complex Analysis and Operator Theory, 11(5), 2017, 1253-1267.

R. C. Paiva, M. Ferreira, M. M. Frade: Intelligent tutorial system based on personalized system of instruction to teach or remind mathematical concepts (hdl.handle.net), Journal of Computer Assisted Learning, 33(4), 2017, 370-381.

Ricardo Abreu Blaya, Juan Bory Reyes, Alí Guzmán Adán, Uwe Kähler: On the φ-hyperderivative of the ψ-Cauchy-type integral in Clifford analysis hdl://10773/17233. , Computational Methods and Function Theory, 17, 2017, 101-119.

N. Vieira: Fischer Decomposition and Cauchy-Kovalevskaya extension in fractional Clifford analysis: the Riemann-Liouville case (hdl://10773/16925), Proceedings of the Edinburgh Mathematical Society. Series II, 1, 2017, 251-272.

Papers in International Conference Proceedings with referees

I. Cação, M. I. Falcão, H. R. Malonek: On Vietoris number sequence and combinatorial identities with quaternions (hdl://1822/47203), 17th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2017, J. Aguiar et al, 480-488, Cadiz, Spain, 2017.

I. Cação, H. R. Malonek, G. Tomaz: Shifted Generalized Pascal Matrices in the Context of Clifford Algebra-Valued Polynomial Sequences(hdl.handle.net), Lecture Notes in Computer Science 10405 (Part II), 17th International Conference on Computational Science and Its Applications-ICCSA 2017, O. Gervasi et al, 409-421, Trieste, Italy, 2017.

I. Cação, H. R. Malonek, G. Tomaz: Matrices related to orthogonal hypercomplex polynomial systems. (hdl://10773/21323), 17th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2017, J. Aguiar et al, 476-479, Cadiz, Spain, 2017.

Reports and Other Publications

I. Cação, M. I. Falcão, and H. R. Malonek: Minimal Exponent Integer Sequence A283208 associated with Vietoris sequence (oeis.org), Mar 08 2017, Registration of an unknown integer sequence, The On Line Encyclopedia of Integer Sequences, 2017.

Books

S. Bernstein, U. Kähler, I. Sabadini, F. Sommen, (Eds.): Modern Trends in Hypercomplex Analysis(www.springer.com), Birkhaeuser Basel, 2016.

Book Chapters

P. Cerejeiras, Q. Chen, N. Gomes, S. Hartmann: Compressed Sensing with Nonlinear Fourier Atoms hdl.handle.net, S. Bernstein U. Kaehler I. Sabadini F. Sommen, Modern Trends in Hypercomplex Analysis, 47-77, Birkhaeuser, Basel, 2016.

P. Cerejeiras, U. Kaehler, F. Sommen, A. Vajiac: Script Geometry hdl.handle.net, S. Bernstein U. Kaehler I. Sabadini F. Sommen, Modern Trends in Hypercomplex Analysis, 79-110, Birkhaeuser, Basel, 2016.

P. Cerejeiras, N. Vieira: Clifford-Hermite polynomials in fractional Clifford analysis(hdl.handle.net), I. Sabadini et al, Noncommutative Analysis, Operator Theory and Applications, 81-95, Birkhäuser, Basel, 2016.

M. Ferreira, N. Vieira: Eigenfunctions and fundamental solutions of the Caputo fractional Laplace and Dirac operators (http:), S. Bernstein, U. Kähler, I. Sabadini, F.Sommen, Modern Trends in Hypercomplex Analysis, Trends in Mathematics Series, 191-202, Birkhäuser, Basel, 2016.

Papers in International Journals with referees

R. Abreu Blaya, J. Bory Reyes, A. Guzman Adán, U. Kähler: On the Π-operator in Clifford analysis hdl://10773/15004 , Journal of Mathematical Analysis and Applications, 434, 2016, 1138-1159.

M. Ferreira: Gyroharmonic Analysis on Relativistic Gyrogroups (hdl://10773/15363), Mathematics Interdisciplinary Research, 1, 2016, 69-109.

M. Ferreira, N. Vieira: Eigenfunctions and fundamental solutions of the fractional Laplace and Dirac operators: the Riemann-Liouville case(hdl://10773/15637), Complex Analysis and Operator Theory, 10(5), 2016, 1081-1100.

Fuli He, Min Ku, Pei Dang, Uwe Kähler: Riemann-Hilbert problems for poly-Hardy space on the unit ball hdl://10773/15736 , Complex Variables and Elliptic Equations, 6, 2016, 772-790.

Fuli He, Min Ku, Uwe Kähler, Frank Sommen, Swanhild Bernstein: Riemann-Hilbert problems for monogenic functions in axially symmetric domains hdl://10773/15441 , Boundary Value Problems, 22, 2016, 1-11.

Fuli He, Min Ku, Uwe Kähler, Frank Sommen, Swanhild Bernstein: Riemann–Hilbert problems for null-solutions to iterated generalized Cauchy–Riemann equations in axially symmetric domains (hdl.handle.net), Computers & Mathematics with Applications, 71, 2016, 1990-2000.

S. Hartmann: Some results on the lattice parameters of quaternionic Gabor frames ( hdl://10773/14587 ), Advances in Applied Clifford Algebras, 26, 2016, 137-149.

F.L. He, M. Ku, U. Kähler: Szegö kernel for Hardy space of matrix functions ( hdl://10773/15034 ), Acta Mathematica Scientia, 36, 2016, 203-214.

Iván Area, Amílcar Branquinho, Ana Foulquié Moreno, and Eduardo Godoy: Characterizations of Δ-Volterra lattice: A symmetric orthogonal polynomials interpretation. (. http://hdl.handle.net/10773/15123 ), Journal of Mathematical Analysis and Applications, 433, n. 1, 2016, 243-259.

R. Krausshar, M.M. Rodrigues, N. Vieira: Maximum principle and parabolic inequalities for the regularized Schrödinger operator on open manifolds(hdl://10773/15109), Results in Mathematics, 69(1), 2016, 49-68.

M.E. Luna-Elizarrarás, J. Morais, M.A. Pérez-de la Rosa, M. Shapiro: On a version of quaternionic function theory related to Chebyshev polynomials and modified Sturm-Liouville operators (doi.org), Quarterly of Applied Mathematics, 74, 2016, 165-184.

J. Nagler, P. Cerejeiras, B. Forster: Lower bounds for the approximation with variation-diminishing splines hdl.handle.net, Journal of Complexity, 32, 2016, 81-91.

PhD Thesis

N. Gomes: Compressive Sensing in Clifford Analysis, Universidade de Aveiro, September, 2015, 182 pp, [Supervisor(s): P. Cerejeiras, U. Kaehler], available at hdl://10773/15170.

J. Nagler: Digital Curvature Estimation: An Operator Theoretic Approach, Universität Passau, October, 2015, 164 pp, [Supervisor(s): B. Forster-Heinlein, U. Kähler], available at opus4.kobv.de.

MSc Thesis

S. Hartmann: Quaternionische Gabor-Entwicklungen, TU Bergakademie Freiberg, May, 2015, 86 pp, [Supervisor(s): S. Bernstein, P. Cerejeiras], available at sweet.ua.pt.

Papers in International Journals with referees

R. Abreu Blaya, J. Bory Reyes, A. Guzman Adan, U. Kaehler: On some structural sets and a quaternionic (φ,ψ)-hyperholomorphic function theory (http://sweet.ua.pt/ukaehler/mana201300072.pdf hdl://10773/15040 ), Mathematische Nachrichten, 288, 2015, 1451-1475.

L. Aceto, H. R. Malonek, G. Tomaz: A unified matrix approach to the representation of Appell polynomials (hdl://10773/15214), Integral Transformation and Special Functions, 26:6, 2015, 426-441.

Amílcar Branquinho, Ana Foulquié Moreno, Anabela Paiva, M.N. Rebocho: Second order differential equations in the Laguerre-Hahn class (hdl://10773/15121) (www.mat.uc.pt), Applied Numerical Mathematics, 94, 2015, 16-32.

P. Cerejeiras, U. Kähler, M. Ku: Discrete Hilbert boundary value problems on half lattices sweet.ua.pt RIA, Journal of Difference Equations and Applications, 21 (12), 2015, 1277-1304.

M. Ferreira: Harmonic Analysis on the Möbius Gyrogroup (hdl://10773/14179 ), J. Fourier Anal. Appl., 21(2), 2015, 281-317.

Iván Area, Amílcar Branquinho, Ana Foulquié Moreno, and Eduardo Godoy: Orthogonal polynomial interpretation of Δ-Toda equations (cf. www.mat.uc.pt ) (cf. . http://hdl.handle.net/10773/15122 ), Journal of Physics A: Mathematical and Theoretical (cf. Pré-publicações do DMUC 14-25), 48, nº 40, 2015, 405206-405219.

R. Krausshar, M.M. Rodrigues and N. Vieira: Time-dependent operators on some non-orientable projective orbifolds (hdl://10773/15057), Mathematical Methods in the Applied Sciences, 38(18), 2015, 5305-5319.

M. Liu, K.I. Kou, J. Morais, P. Dang: Signal moments for the short-time Fourier transform associated with Hardy-Sobolev derivatives (onlinelibrary.wiley.com), Mathematical Methods in the Applied Sciences, 38, 2015, 2719-2730.

J. Morais, I. Cação: Quaternion Zernike Spherical Polynomials (hdl.handle.net), Mathematics of Computation, 84, 2015, 1317-1337.

J. Morais, K.I. Kou, H.T. Le: Generalized holomorphic orthogonal function systems over infinite cylinders http://onlinelibrary.wiley.com/doi/10.1002/mma.3243">http://onlinelibrary.wiley.com/doi/10.1002/mma.3243 ), Mathematical Methods in the Applied Sciences, 38, 2015, 2574-2588.

R. Paiva, M. Ferreira, A. Mendes, A. Eusébio: Interactive and Multimedia Contents Associated with a System for Computer-Aided Assessment (hdl://10773/14834), Journal of Educational Computing Research, 52 (2), 2015, 224-256.

N. Vieira: Cauchy-Kovalevskaya extension theorem in fractional Clifford analysis (hdl://10773/14531 ), Complex Analysis and Operator Theory, 9(5), 2015, 1089-1109.

Papers in International Conference Proceedings with referees

I. Cação, M. I. Falcão, H. R. Malonek: Recurrence relations for systems of Clifford algebra-valued orthogonal polynomials(hdl://1822/39230 ), International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE2015, J. Vigo-Aguiar et al, 275-280, Rota, Cadiz, Spain, 2015.

M. Ferreira, N. Vieira: Eigenfunctions and fundamental solutions for the fractional Laplacian in 3 dimensions hdl://10773/16281 , 20th International Conference on the Applications of Computer. Science and Mathematics in Architecture and Civil Engineering - IKM 2015, K. Gurlebeck and T. Lahmer (eds.), 30-35, Weimar, Germany, 2015.

K. Gürlebeck, U. Kähler, D. Legatiuk: An Interpolation Problem Arising in a Coupling of the Finite Element Method with Holomorphic Basis Functions (hdl.handle.net), 12th International Conference of Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014, AIP Conference Proceedings, Theodore E. Simos and Charalambos Tsitouras, 1-4, Rhodos, Greece, 2015.

U. Kähler: Discrete Hypercomplex Function Theory and its Applications (hdl.handle.net), 12th International Conference of Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014, AIP Conference Proceedings, Theodore E. Simos and Charalambos Tsitouras, 1-3, Rhodes; Greece, 2015.

N. Vieira: Some results in fractional Clifford analysis (hdl://10773/16279), 20th International Conference on the Application of Computer. Science and Mathematics in Architecture and Civil Engineering - IKM 2015, K. Gurlebeck and T. Lahmer (eds.), 6 pp, Weimar, Germany, 2015.

Books

S. Bernstein, U. Kähler, I. Sabadini, F. Sommen, (Eds.): Hypercomplex Analysis: New Perspectives and Applications (www.springer.com), Birkhäuser, 2014.

J. Morais, S. Georgiev and W. Sprößig: Real Quaternionic Calculus Handbook (www.springer.com), Birkhäuser, 2014.

Book Chapters

S.-L. Eriksson, H. Orelma, N. Vieira: Integral formulas for $k$-hypermonogenic functions in R^3(www.springer.com), S. Bernstein, U. Kähler, I. Sabadini and F. Sommen, Hypercomplex Analysis: New Perpectives and Applications, 119-132, Trends in Mathematics, Birkhäuser, Basel, 2014.

U. Kähler, N. Vieira: Fractional Clifford analysis(www.springer.com), S. Bernstein, U. Kähler, I. Sabadini and F. Sommen, Hypercomplex Analysis: New Perpectives and Applications, 191-201, Trends in Mathematics, Birkhäuser, Basel, 2014.

PhD Thesis

Carla Cruz: Numerical and combinatorial applications of generalized Appell polynomials, Universidade de Aveiro, October, 2014, 173 pp, [Supervisor(s): Helmuth R. Malonek, M. Irene Falcão], available at hdl://10773/13962.

Papers in International Journals with referees

M. Abul-Ez, D. Constales, J. Morais, M. Zayed: Hadamard Three-Hyperballs Type Theorem and Overconvergence of Special Monogenic Simple Series. (www.sciencedirect.com), Journal of Mathematical Analysis and Applications, 412, 2014, 426-434.

S. Bernstein, P. Cerejeiras, U. Kaehler: Lax pairs for 3D spatial problems based on the Dirac operator (www.tandfonline.com), Complex Variables and Elliptic Equations, 59, 2014, 1016-1030.

J. Bory Reyes, P. Cerejeiras, A. Guzman Adan, U. Kähler: A Short Note on the Local Solvability of the Quaternionic Beltrami Equation (www.springerlink.com), Advances in Applied Clifford Algebras, 24, 2014, 945-953.

A. Branquinho, U. Fidalgo Prieto, A.Foulquié Moreno: An extension of Markovs Theorem (www.ams.org), Proceedings of the American Mathematical Society, 142, 2014, 3491-3503.

I. Cação, D. Eelbode: Jacobi polynomials and generalized Clifford algebra-valued Appell sequences (onlinelibrary.wiley.com), Mathematical Methods in the Applied Sciences, 37, 2014, 1527-1537.

I. Cação, M. I. Falcão, H. R. Malonek: A matrix recurrence for systems of Clifford algebra-valued orthogonal polynomials (link.springer.com), Adv. Appl. Clifford Algebras, 24, 2014, 981-994.

P. Cerejeiras, Y. Fu, U. Kaehler, L. Li: On the Fock space of metaanalytic functions, (ac.els-cdn.com), Journal of Mathematical Analysis and Applications, 414, 2014, 176-187.

P. Cerejeiras, U. Kähler, M. Ku, F. Sommen: Discrete Hardy Spaces, (link.springer.com), Journal of Fourier Analysis and Applications, 20, 2014, 715-750.

P. Cerejeiras, U. Kähler, R. Lavicka: Generating Functions for Spherical Harmonics and Spherical Monogenics (www.springerlink.com), Advances in Applied Clifford Algebras, 24, 2014, 995-1004.

P. Cerejeiras, U. Kähler, M.M. Rodrigues, N. Vieira;: Hodge type decomposition in variable exponent spaces for the time-dependent operators: the Schrödinger case (aimsciences.org), Communications on Pure and Applied Analysis, 13(6), 2014, 20 pp.

C. Cruz, M. I. Falcão, H. R.Malonek: Monogenic pseudo-complex power functions. and their applications(199.171.202.195), Math. Methods Appl. Sci., 37, 2014, 1723-1735.

M. Ferreira: Harmonic analysis on the Einstein gyrogroup (www.bio21.bas.bg), J. Geom. Symm. Phys. 35, 35, 2014, 21-60.

U. Kaehler, G. Ren: Pseudo-hyperbolic metric and uniformly discrete sequences in the real unit ball (www.sciencedirect.com), Acta Mathematica Scientia, 34, 2014, 629-638.

K.I. Kou, J. Morais: Asymptotic behaviour of the quaternion linear canonical transform and the Bochner-Minlos theorem (www.sciencedirect.com), Applied Mathematics and Computation, 247, 2014, 675-688.

R. Krausshar, M.M. Rodrigues and N. Vieira: Hodge type decomposition for time dependent first order parabolic operators with non-constant coefficients: the variable exponent case (link.springer.com), Milan Journal of Mathematics, 82, 2014, 407-422.

R. Krausshar, M.M. Rodrigues, and N. Vieira: The Schrödinger semigroup on some flat and non flat manifolds,(link.springer.com), Complex Analysis and Operator Theory, 8(2), 2014, 461-484.

R. Krausshar, M.M. Rodrigues and N. Vieira: Hodge decomposition and solution formulas for some first order time dependent parabolic operators with non-constant coefficients (link.springer.com), Annali di Matematica Pura ed Applicata, 193(6), 2014, 1807-1821.

M. Liu, K.I. Kou, J. Morais, P. Dang: Sharper uncertainty principles for the windowed Fourier transform (www.tandfonline.com), Journal of Modern Optics, 62, 2014, 46-55.

J. Morais: Computational aspects of the continuum quaternionic wave functions for hydrogen. (www.sciencedirect.com), Annals of Physics, 349, 2014, 171-188.

J. Morais and C. Nolder: Local distortion of M-conformal mappings(www.sciencedirect.com), Mathematics and Computation, 249, 2014, 554-568.

M.H. Nguyen, K. Gürlebeck, J. Morais, S. Bock: On orthogonal monogenics in oblate spheroidal domains. (www.sciencedirect.com), Journal of Integral Transforms and Special Functions, 25, 2014, 513-527.

Papers in International Conference Proceedings with referees

Carla Cruz, M. Irene Falcão, Helmuth R. Malonek: Monogenic Polynomials of Four Variables with Binomial Expansion, Lecture Notes in Computer Science 8579; (2014) (link.springer.com), 14th International Conference on Computational Science and Its Applications - ICCSA 2014, B. Murgante et al, 204-220, Guimarães, Portugal, 2014.

Carla Cruz, M. Irene Falcão, Helmuth R. Malonek: On Numerical Aspects of Pseudo-Complex Powers in R^3, (Lecture Notes in Computer Science 8579; (2014) (link.springer.com), 14th International Conference on Computational Science and Its Applications - ICCSA 2014, B. Murgante et al, 1-16, Guimarães, Portugal, 2014.

Graça Tomaz, Helmuth R. Malonek: Matrix Approach to Frobenius-Euler Polynomials, Lecture Notes in Computer Science 8579, (2014), (link.springer.com), 14th International Conference on Computational Science and Its Applications - ICCSA 2014, B. Murgante et al, 75-86, Guimarães, Portugal, 2014.

Isabel Cação, João Morais: An Orthogonal Set of Weighted Quaternionic Zernike Spherical Functions, Lecture Notes in Computer Science 8579; (2014)(link.springer.com), 14th International Conference on Computational Science and Its Applications - ICCSA 2014, B. Murgante et al, 103-116, Guimarães, Portugal, 2014.

Reports and Other Publications

H. R. Malonek, W. Sprössig: Preface (link.springer.com), Preface to Special Issue, Adv. Appl. Clifford Algebras, 24:4, 2014.

Book Chapters

Y. Fu, U. Kähler, P. Cerejeiras: The Balian–Low Theorem for the Windowed Clifford–Fourier Transform, (link.springer.com), E. Hitzer S. Sangwine, Quaternion and Clifford–Fourier Transforms and Wavelets, 299-319, Birkhäuser, Basel, 2013.

S. Georgiev, J. Morais: Bochners Theorems in the framework of Quaternion Analysis. (link.springer.com), Eckhard Hitzer and Steve Sangwine, Quaternion and Clifford Fourier Transforms and Wavelets, 85-104, Springer, Birkhauser Trends in Mathematics Series, 2013.

S. Georgiev, J. Morais, K.I. Kou, W. Sproessig: Bochner-Minlos Theorem and Quaternion Fourier Transform. (link.springer.com), Eckhard Hitzer and Steve Sangwine, Quaternion and Clifford Fourier Transforms and Wavelets, 105-120, Springer, Birkhauser Trends in Mathematics Series, 2013.

Min Ku, Uwe Kähler, Paula Cerejeiras: Dirichlet-Type Problems for the Iterated Dirac Operator on the Unit Ball in Clifford Analysis, (link.springer.com), Graziano Gentili, Irene Sabadini, Michael Shapiro, Franciscus Sommen, Daniele C. Struppa, Advances in Hypercomplex Analysis, 75-92, Springer INdAM Series, Milan Heidelberg New York Dordrecht London, 2013.

Papers in International Journals with referees

M.A. Abul-Ez, R. De Almeida: On the lower order and type of entire axially monogenic functions, (download.springer.com), Results in Mathematics, 63 (3-4), 2013, 1257-1275.

D. Barrios Rolanía, A. Branquinho, and A. Foulquié Moreno: On the full Kostant Toda system and the discrete Korteweg-de Vries equations, (www.sciencedirect.com), Journal of Mathematical Analysis and Applications, 401, 2013, 811-820.

P. Cerejeiras, Q. Chen, U. Kaehler, G. Ren: Non-separable multivariate filter banks from univariate wavelets, (onlinelibrary.wiley.com), Mathematische Nachrichten, 286, 2013, 951-969.

P. Cerejeiras, Y. Fu, U. Kähler: The Balian–Low theorem for a new kind of Gabor system, (www.tandfonline.com), Applicable Analysis, 92, 2013, 799-813.

D. Constales, R. De Almeida, Rolf Soeren Krausshar: The Fourier expansion of the hypermonogenic generalized trigonometric and elliptic, (www.sciencedirect.com), Journal of Number Theory, 133 (6), 2013, 1991-2004.

M. Dalla Riva, J. Morais and P. Musolino: A family of fundamental solutions of elliptic partial differential operators with quaternion constant coefficients. (onlinelibrary.wiley.com), Mathematical Methods in the Applied Sciences, 36, 2013, 1569-1582.

M. Ferreira, F. Sommen: Complex Boosts: A Hermitian Clifford Algebra approach. (link.springer.com), Adv. Appl. Clifford Algebras, 23(2), 2013, 339-362.

K.I. Kou, Jian-Yu Ou, J. Morais: On uncertainty principle for quaternionic linear canonical transform. (www.hindawi.com), Abstract and Applied Analysis, 2013, 14 pp.

K.I. Kou, J. Morais, Y. Zhang: Generalized prolate spheroidal wave functions for offset linear canonical transform in Clifford analysis. (onlinelibrary.wiley.com), Mathematical Methods in the Applied Sciences, 36, 2013, 1028-1041.

Min Ku, Uwe Kaehler, Daoshun Wang: Half Dirichlet problem for the Hölder continuous matrix functions in Hermitian Clifford analysis, (www.tandfonline.com), Complex Variables and Elliptic Equations, 58 (7), 2013, 1037-1056.

Min Ku, YIngxiong Fu, Kaehler Uwe, Cerejeiras Paula: Riemann Boundary Value Problems for Iterated Dirac Operator on the Ball in Clifford Analysis, (link.springer.com), Complex Analysis and Operator Theory, 7(3), 2013, 673-693.

J. Morais: An orthogonal system of monogenic polynomials over prolate spheroids in R3. (www.sciencedirect.com), Mathematical and Computer Modelling, 57, 2013, 425-434.

J. Morais, K. Avetisyan, K. Guerlebeck: On Riesz systems of harmonic conjugates in R3. (onlinelibrary.wiley.com), Mathematical Methods in the Applied Sciences, 36, 2013, 1598-1614.

J. Morais, M. Ferreira: 3D Deformations by means of Monogenic Functions. (onlinelibrary.wiley.com), Mathematical Methods in the Applied Sciences, 36, 2013, 780-793.

J. Morais, K.I. Kou and S. Georgiev: On convergence properties of 3D spheroidal monogenics. (www.worldscientific.com), International Journal of Wavelets, Multiresolution and Information Processing, 2013, 19 pp.

J. Morais, K.I. Kou and W. Sprößig.: Generalized holomorphic Szegö kernel in 3D spheroids. (www.sciencedirect.com), Computers and Mathematics with Applications, 65, 2013, 576-588.

Paula Cerejeiras, Uwe Kähler, Min Ku: On the Riemann Boundary Value Problem for Null Solutions to Iterated Generalized Cauchy–Riemann Operator in Clifford Analysis, (link.springer.com), Results in Mathematics, 63(3-4), 2013, 1375-1394.

S. Yakubovich, N. Vieira: The use of the Kontorovich-Lebedev transform in an analysis of regularized Schrödinger equation (www.tandfonline.com), Integral Transforms and Special Functions, 24(1), 2013, 9-22.

Papers in International Conference Proceedings with referees

I. Cação, J. Morais: An introduction to the quaternionic Zernike spherical polynomials (scitation.aip.org), 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013, AIP Conference Proceedings, 502-505, Rhodes; Greece, 2013.

C. Cruz, M. I. Falcão, and H. R. Malonek: (dx.doi.org)About Pascals tetrahedron with hypercomplex entries, ICNAAM 2013, T.E. Simos et al., AIP Conf. Proc. 1558, 509-512, Rhodes; Greece, 2013.

S. Georgiev, J. Morais: An introduction to the Hilger quaternion numbers. (scitation.aip.org), ICNAAM 2013, Simos, 550-553, Rhodes, Greece, 2013.

J. Morais: A version of quaternionic function theory related to prolate spheroidal. wave signals. (adsabs.harvard.edu), ICNAAM 2013, Simos, 48-51, Rhodes, Greece, 2013.

A. Teixeira, R. De Almeida: Improving the rate of convergence of a Mehrotra type predictor-corrector algorithm, ICMCS 2013 : International Conference on Mathematics and Computational Science 2013, World Academy of Science Engineering and Technology, 75, 505-516, Rio de Janeiro, Brasil, 2013.

PhD Thesis

Graça Tomaz: Multivariate Appell polynomials and their matrix representation, University of Aveiro, December, 2012, 182 pp, [Supervisor(s): H. R. Malonek].

Papers in International Journals with referees

Cação, Isabel, Falcão, Maria Irene, Malonek, Helmuth R.: Matrix representations of a special polynomial sequence in arbitrary dimension, (link.springer.com), Comput. Methods Funct. Theory, 12, No. 2, 2012, 371-391.

P. Cerejeiras, Q. Chen, U. Kähler: Bedrosian Identity in Blaschke Product Case, (link.springer.com), Complex Analysis and Operator Theory, 6, 2012, 275-300.

P. Cerejeiras, Y. Fu, U. Kähler: The Balian-Low Theorem for the Windowed Quaternionic Fourier Transform, (link.springer.com), Advances in Applied Clifford Algebras, 22, 2012, 1025-1040.

Chen Q. H., Li L. Q., Malonek H.: The construction of generalized B-spline low-pass filters related to possibility density, (link.springer.com), Sci China Math, 55(12), 2012, 2481-2491.

Falcão, Maria Irene; Malonek, Helmuth R.: A note on a one-parameter family of non-symmetric number triangles, (dx.doi.org), Opusc. Math., 32, No. 4, 2012, 661-673.

S. Georgiev, J. Morais and W. Sproessig: New aspects on elementary functions in the context of quaternionic analysis. (www.scielo.cl), CUBO A Mathematical Journal, Vol. 14, 2012, 93-110.

Malonek, H.R., Falcão, M.I.: On paravector valued homogeneous monogenic polynomials with binomial expansion, (dx.doi.org), Adv. Appl. Clifford Algebr., 22, No. 3, 2012, 789-801.

Min Ku, Uwe Kaehler, Daoshun Wang: Riemann Boundary Value Problems on the Sphere in Clifford Analysis, (link.springer.com), Advances in Applied Clifford Algebras, 22, 2012, 365-390.

Min Ku, Uwe Kähler: Riemann boundary value problems on half space in Clifford analysis, (onlinelibrary.wiley.com), Mathematical Methods in the Applied Sciences, 35, 2012, 2141-2156.

Min Ku, D.S. Wang, L. Dong: Solutions to polynomial generalized Bers–Vekua equations in Clifford analysis, (link.springer.com), Complex Analysis and Operator Theory, Vol.6, 2012, 407-424.

J. Morais: A Complete Orthogonal System of Spheroidal Monogenics. (jnaiam.org), Journal of Numerical Analysis, Industrial and Applied Mathematics, 6, 2012, 105-119.

J. Morais, K. Guerlebeck: Bloch´s theorem in the context of quaternion analysis. (link.springer.com), Computational Methods and Function Theory, 12, 2012, 541-558.

J. Morais, K. Guerlebeck: Real-Part Estimates for Solutions of the Riesz System in R3. (www.tandfonline.com), Complex Variables and Elliptic Equations, 57, 2012, 505-522.

G. Ren, U. Kähler, J. Shi, C. Liu: Hardy-Littlewood Inequalities for Fractional Derivatives of Invariant Harmonic Functions, (link.springer.com), Complex Analysis and Operator Theory, 6, 2012, 373-396.

M. Zayed, M.Abul-Ez, J. Morais: Generalized derivative and primitive of Cliffordian bases of polynomials constructed through Appell monomials. (link.springer.com), Computational Methods and Function Theory, 12, 2012, 501-515.

Papers in International Conference Proceedings with referees

K. Avetisyan, K. Gürlebeck and J. Morais: On 3D Riesz systems of harmonic conjugates. (adsabs.harvard.edu), ICNPAA 2012, Seenith Sivasundaram, AIP Conf. Proc. 1493, 441-445, Vienna, Austria, 2012.

C. Cruz, M. I. Falcão, and H. R. Malonek: On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials,(dx.doi.org), ICNAAM 2012, E. Simos et al., AIP Conf. Proc. 1479, 283-286, Kos, Greece, 2012.

C. Cruz, M. I. Falcão, and H. R. Malonek: On pseudo-complex bases for monogenic polynomials, (dx.doi.org), ICNPAA 2012, Seenith Sivasundaram AIP Conf. Proc. 1493, 350-355, Vienna, Austria, 2012.

M. Dalla Riva, J. Morais and P. Musolino: A family of fundamental solutions for elliptic quaternion coefficient differential operators and application to perturbation results for single layer potentials. (adsabs.harvard.edu), ICNPAA 2012, Seenith Sivasundaram, AIP Conf. Proc. 1493, 269-273, Vienna, Austria, 2012.

M. Ferreira: Complex dilations, shearings, and rotations (scitation.aip.org), Numerical Analysis and Applied Mathematics ICNAAM 2012, AIP Conf. Proc. 1479, 287-291, kos, Grécia, 2012.

K. Gürlebeck, M.H. Nguyen and J. Morais: On M-conformal mappings. (adsabs.harvard.edu), ICNPAA 2012, Seenith Sivasundaram, AIP Conf. Proc. 1493, 674-677, Vienna, Austria, 2012.

S. Georgiev and J. Morais: Bochner’s theorem on Fourier-Stieltjes integrals in the framework of quaternion analysis. (adsabs.harvard.edu), ICNPAA 2012, Seenith Sivasundaram, AIP Conf. Proc. 1493, 666-673, Vienna, Austria, 2012.

S. Georgiev and J. Morais: An explicit formula for the monogenic Szegö kernel function on 3D spheroids. (adsabs.harvard.edu), ICNAAM 2012, AIP Conf. Proc. 1479, 292-295, Kos, Greece, 2012.

H.T. Le, J. Morais and W. Sprößig: Orthogonal decompositions and their applications, 19th International Conference on the Application of Computer Science and Mathematics in Architecture and Civil Engineering, K. Gürlebeck, T. Lahmer and F. Werner, 1-10, Weimar, 2012.

J. Morais and S. Georgiev: Complete orthogonal systems of 3D spheroidal monogenics, 19th International Conference on the Application of Computer Science and Mathematics in Architecture and Civil Engineering, K. Gürlebeck, T. Lahmer and F. Werner, 1-14, Weimar, 2012.

J. Morais and C. Nolder: Local distortion of monogenic functions. (adsabs.harvard.edu), ICNPAA 2012, Seenith Sivasundaram, AIP Conf. Proc. 1493, 703-709, Vienna, Austria, 2012.

H.T. Le., J. Morais and W. Sprößig: An orthogonal decomposition of the complex quaternion Hilbert space and its applications. (adsabs.harvard.edu), ICNPAA 2012, Seenith Sivasundaram, AIP Conf. Proc. 1493, 595-602, Vienna, Austria, 2012.

J. Morais, S. Georgiev and W. Sprößig: A note on the Clifford Fourier-Stieltjes transform and its properties, 19th International Conference on the Application of Computer Science and Mathematics in Architecture and Civil Engineering, K. Gürlebeck, T. Lahmer and F. Werner, 1-13, Weimar, 2012.

A. Teixeira, R. De Almeida: On the complexity of a Mehrotra-type predictor-corrector algorithm, (link.springer.com), ICCSA 2012:. 12th International Conference on Computational Science and its Applications, B. Murgante et. al, Part III, Lecture Notes in Computer Science 7335, Springer-Verlag Berlin Heidelberg, 17-29, Salvador de Bahia, Brazil, 2012.

G. Tomaz, M. I. Falcão, and H. R. Malonek: Pascals triangle and other number triangles in Clifford analysis, (dx.doi.org), ICNAAM 2012, T.E. Simos et al., AIP Conf. Proc. 1479, 313-316, Kos, Greece, 2012.

Book Chapters

Eliseu Monteiro, R. De Almeida, Abel Rouboa: Finite volume method analysis of heat transfer in multi-block grid during solidification, (www.intechopen.com), Aziz Belmiloudi, Heat Transfer: Mathematical Modeling, Numerical Methods Information Technology, 129-150, InTech, Croatia, 2011.

M. Ferreira: Gyrogroups in Projective Hyperbolic Clifford Analysis. (link.springer.com), I. Sabadini and F. Sommen (eds.), Hypercomplex Analysis and Applications. Trends in Mathematics, 61-80, Springer, Basel, 2011.

K. Guerlebeck, J. Morais: On orthonormal polynomial solutions of the Riesz system in R3. (link.springer.com), Theodore E. Simos, Recent Advances in Computational and Applied Mathematics, 143-158, Springer, ,, 2011.

PhD Thesis

Lifang Zhou: Hua-Kelvin transform on the space of harmonic functions, University of Science and Technology, Hefei, Anhui, China, July, 2011, 101 pp, [Supervisor(s): Guangbin Ren].

Vítor Luís Pereira Morais de Sousa: THE RIEMANN-HILBERT METHOD APPLIED TO THE. THEORY OF ORTHOGONAL POLYNOMIALS, Universidade de Aveiro, January, 2011, 132 pp, [Supervisor(s): Prof. Dra. Ana Foulquié Moreno, Prof. Dr. Andrei Martinez-Finkelshtein (Univ. Almeria - Espanha)].

MSc Thesis

Robert de Sousa: O princípio do módulo máximo e teoremas do tipo Phragmén-Lindelöf, Universidade de Aveiro, July, 2011, 44 pp, [Supervisor(s): Helmuth R. Malonek].

Papers in International Journals with referees

R. Abreu Blaya, J. Bory Reyes, D. Peña Peña, F. Sommen: A holomorphic extension theorem using Clifford analysis,(link.springer.com), Complex Analysis and Operator Theory, 5, no. 1, 2011, 113-130.

D. Barrios Rolanía, Amílcar Branquinho, Ana Foulquié Moreno: On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials, (www.sciencedirect.com), Journal of Mathematical Analysis and Applications, 377, 2011, 228-238.

Cação, I., Falcão, M.I., Malonek, H.R.: Laguerre derivative and monogenic Laguerre polynomials: An operational approach (www.sciencedirect.com), Mathematical and Computer Modelling, 53, 2011, 1084-1094.

P. Cerejeiras, Q. Chen, U. Kähler, G. Ren: Chirp transforms and Chirp series, (www.sciencedirect.com), Journal of Mathematical Analysis and Applications, 373, 2011, 356-369.

P. Cerejeiras, M. Ferreira, U. Kähler, G. Teschke: Inversion of the noisy Radon transform on SO(3) by Gabor frames and sparse recovery principles, (www.sciencedirect.com), Applied and Computational Harmonic Analysis, 31, 2011, 325-345.

Q. Chen, T. Qian, Y. Wang, G. Ren: B-spline of Blaschke product type, (www.sciencedirect.com), Computer and Mathematics with Applications, 62, 2011, 3669-3681.

D. Constales, R. De Almeida, R.S. Krausshar: Wiman-Valiron theory for the Dirac-Hodge equation on upper half-space of IR^{n+1}, (www.sciencedirect.com), Journal of Mathematical Analysis and Applications, 378, 2011, 238-251.

N. Faustino, G. Ren: (Discrete) Almansi type decompositions: an umbral calculus framework based on osp(1|2) symmetries, (onlinelibrary.wiley.com), Math. Meth. Appl. Sci.,, 34, No. 16, 2011, 1961-1979.

M. Ferreira, G. Ren: Mobius gyrogroups: A Clifford algebra approach (www.sciencedirect.com), Journal of Algebra, 328(1), 2011, 230-253.

A. Foulquié Moreno, A. Martínez-Finkelshtein, V. L. Sousa: Asymptotics of orthogonal polynomials for a weight with a jump on [−1, 1], (link.springer.com), Constructive Approximation, 33, 2011, 219-263.

R. Krau{ss}har, N. Vieira: The Schrödinger equation on cylinders and the n-torus(link.springer.com), Journal of Evolution Equations, 11(1), 2011, 215-237.

Malonek, Helmuth R., Peña Peña, Dixan, Sommen, Frank: A Cauchy-Kowalevski theorem for inframonogenic functions.(www.math.okayama-u.ac.jp), Math. J. Okayama Univ., 53, 2011, 167-172.

Min Ku, Daoshun Wang, Jinyuan Du: The boundary behavior of isotonic Cauchy type integral in Clifford analysis, (www.actamath.com), Acta Mathematica Sinica, Chinese Series, 54 (2) , 2011, 177-186.

Min Ku, D.S. Wang: Half Dirichlet problem for matrix functions on the unit ball in Hermitian Clifford analysis, (www.sciencedirect.com), Journal of Mathematical Analysis and Applications, 374(2) , 2011, 442-457.

Min Ku, D.S. Wang: Solutions to the polynomial Dirac equations on unbounded domains in Clifford analysis,(onlinelibrary.wiley.com), Mathematical Methods in the Applied Sciences, 34(4), 2011, 418-427.

J. Morais, H. T. Le: Orthogonal Appell Systems of Monogenic Functions in the Cylinder. (onlinelibrary.wiley.com), Mathematical Methods in the Applied Sciences, 34, 2011, 1472-1486.

J. Morais, H. T. Le and W. Sproessig: On some constructive aspects of monogenic function theory in R4. (onlinelibrary.wiley.com), Mathematical Methods in the Applied Sciences, 34, 2011, 1685-1706.

Y. Wang, D.H. Li, M. Ku: On compound boundary value problem for a class of metaanalytic functions, (mall.cnki.net), Journal of Mathematics (Wuhan), 31 (4), 2011, 615-620.

S. Yakubovich, N. Vieira: A radial version of the Kontorovich-Lebedev transform in the unit ball (journals.bg.agh.edu.pl), Opuscula Mathematica, 31(1), 2011, 137-146.

Papers in International Conference Proceedings with referees

M. A. Abul-Ez, R. De Almeida: On the lower order of entire special monogenic functions, (adsabs.harvard.edu), ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics 2011, T.E. Simos, G. Psihoyios, Ch. Tsitouras and Z. Anastassi, AIP Conference Proceedings, 1389, 268-271, Halkidiki, Greece, 2011.

Cação, I., Falcão, M.I., Malonek, H.R.: On generalized hypercomplex Laguerre-type exponentials and applications (link.springer.com), Computational Science and Its Applications - ICCSA 2011, B. Murgante et al, 271-286, Santander, Spain, 2011.

Cação, I., Falcão, I., Malonek, H. R.: Monogenic generalized Laguerre and Hermite polynomials and related functions, International Conference on Clifford Algebras and their Applications (ICCA9), Guerlebeck, K, 10 pp, University of Weimar, 2011.

Cação, I., Malonek, H.R.: On an hypercomplex generalization of Gould-Hopper and related Chebyshev polynomials (link.springer.com), Computational Science and Its Applications - ICCSA 2011, B. Murgante et al, 316-326, Santander, Spain, 2011.

Carla Cruz, M. I. Falcão, H. R. Malonek: 3D Mappings by Generalized Joukowski Transformations(link.springer.com), Computational Science and Its Applications - ICCSA 2011, B. Murgante et al.;Lecture Notes in Computer Science, Springer-Verlag, Vol. 6784, 358-373, University of Cantabria, Santander (Spain), 2011.

C. Cruz, M. I. Falcão, H. R. Malonek: On a quasi-conformal Joukowski type transformation of. second order in Rm+1, 9th International Conference on Clifford Algebras. and their Applications in Mathematical Physics - ICCA9, K. Gürlebeck, 10 pp, Bauhaus-University, Weimar, Germany,, 2011.

M. I. Falcão, Fernando Miranda: Quaternions: A Mathematica Package for Quaternionic Analysis(link.springer.com), Computational Science and Its Applications - ICCSA 2011, B. Murgante et al.;Lecture Notes in Computer Science, Springer-Verlag, Vol. 6784, 200-214, University of Cantabria, Santander (Spain), 2011.

S. Georgiev, J. Morais: On convergence aspects of Spheroidal monogenics. (adsabs.harvard.edu), ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics 2011, T.E. Simos, G. Psihoyios and Ch. Tsitouras, AIP Conference Proceedings, 1389, 276-279, Halkidiki, Greece, 2011.

S. Georgiev, J. Morais and W. Sproessig: Trigonometric integrals in the framework of Quaternionic analysis, 9th International Conference on Clifford Algebras and their Applications in Mathematical Physics, K. Guerlebeck, 12 pp, Weimar, Germany, 2011.

H. T. Le, J. Morais and W. Sproessig: An orthogonal decomposition of the complex quaternionic valued Hilbert space and its applications, 9th International Conference on Clifford Algebras and their Applications in Mathematical Physics, K. Guerlebeck, 10 pp, Weimar, Germany, 2011.

H. R. Malonek and G. Tomaz: Laguerre polynomials in several hypercomplex variables. and their matrix representation(link.springer.com), Computational Science and Its Applications - ICCSA 2011, B. Murgante et al.;Lecture Notes in Computer Science, Springer-Verlag, Vol. 6784, 261-270, University of Cantabria, Santander (Spain), 2011.

H. R. Malonek, M. I. Falcão: Linking Clifford Analysis and Combinatorics through bijective methods, 9th International Conference on Clifford Algebras. and their Applications in Mathematical Physics ICCA9, K. Gürlebeck, 11 pp, Bauhaus-University Weimar, Germany, 2011.

Book Chapters

I. Cação, H. R. Malonek, G. Tomaz: Special polynomials and polynomial bases in hypercomplex function theory, Alberto Cialdea, Giuseppe Dattoli, Matthew Xisheng He, Hari Mohan Srivastava (eds.), Lecture Notes of Seminario Interdisciplinare di Matematica, Volume IX, 129-151, S.I.M., Basilicata, 2010.

K. Guerlebeck, J. Morais: Geometric characterization of M-conformal mappings, Eduardo Bayro-Corrochano and Gerik Scheuermann, Geometric Algebra Computing: in Engineering and Computer Science, 327-342, Springer, 1st Edition, 2010.

PhD Thesis

Yingwei Chen: Approximation theory in holomorphic function spaces, University of Science and Technology of China, April, 2010, 150 pp, [Supervisor(s): G. Ren].

MSc Thesis

V. Baessa: Modelação e Simulação Numérica de Problemas Electrostáticos e Magnetostáticos numa Superfície ou num Corpo, Universidade de Cabo Verde, October, 2010, 48 pp, [Supervisor(s): U. Kähler].

Papers in International Journals with referees

R. Abreu Blaya, J. Bory Reyes, D. Peña Peña, F. Sommen: Holomorphic Extension Theorems in Lipschitz Domains of C^2, Advances in Applied Clifford Algebras, 20 (1), 2010, 1-12.

R. Abreu Blaya, J. Bory Reyes, D. Peña Peña, F. Sommen: Biregular extendability via isotonic Clifford analysis, Mathematical Methods in the Applied Sciences, 33 (4) , 2010, 384-393.

D. Barrios Rolanía, A. Branquinho, A. Foulquié Moreno: Dynamics and interpretation of some integrable systems. via multiple orthogonal polynomials (http://www.sciencedirect.com/science/article/pii/S0022247X09006003), Journal of Mathematical Analysis and Applications, 361, no 2, 2010, 358-370.

G. Bernardes, S. Bernstein, P. Cerejeiras, U. Kähler: Wavelets invariant under finite reflection groups, Mathematical Methods in the Applied Sciences, 33, 2010, 473-484.

A. Branquinho, L. Cotrim and A. Foulquié Moreno: Matrix interpretation of multiple orthogonality (http://link.springer.com/article/10.1007%2Fs11075-009-9355-3), Numerical Algorithms, 55, 2010, 19-37.

I. Cação: Complete orthonormal sets of polynomial solutions of the Riesz and Moisil-Teodorescu systems in R^3, Numer. Algor., 55, 2010, 191-203.

P. Cerejeiras, Q. Chen, U. Kähler: A necessary and sufficient condition for a Bedrosian identity, Mathematical Methods in the Applied Sciences, 33, 2010, 493-500.

Q. Chen, C.A. Micchelli, Y. Wang: Function with spline spectra and applications, International Journal of Wavelet and Multiresolution Analysis and Information Processing, 8, 2010, 197-223.

Y. Chen, G. Ren: Jackson’s Theorem in Qp Spaces, Science in China Series A: Mathematics, 53, 2010, 367-372.

D. Constales, R. De Almeida, R.S. Krausshar: Basics of a generalized Wiman-Valiron theory for monogenic Taylor series of finite convergence radius, Mathematische Zeitschrift, 266 (3), 2010, 665-681.

H. de Ridder, H. de Schepper, U. Kähler, F. Sommen: Discrete Function Theories based on Skew-Weyl relations, Proceedings of AMS, 138, 2010, 3241-3256.

M. Fei, P. Cerejeiras, U. Kaehler: Spherical Dunkl-monogenics and a factorization of the Dunkl–Laplacian, Journal of Physics A: Mathematical and Theoretical, 43, 2010, 14 pp.

A. Foulquie Moreno, A. Martinez-Finkelshtein and V.L. Sousa: On a conjecture of A. Magnus concerning the asymptotic behavior of the recurrence coefficients of the generalized Jacobi polynomials, http://www.sciencedirect.com/science/article/pii/S0021904509001646, Journal of Approximation Theory, 162 (4), 2010, 807-831.

Guangbin Ren, H. R. Malonek: Decomposition of Polyharmonic Functions with Respect to the Complex Dunkl Laplacian, Journal of Inequalities and Applications, 2010, 2010, 168-181.

L. Liu, G. B. Ren: Normalized system for wave and Dunkl operators, Taiwanese Journal of Mathematics, 14, 2010, 675-683.

L. Liu, G. Ren: Normalized system for wave and Dunkl operators, Taiwanese Journal of Mathematics, 14, 2010, 675-683.

H.R. Malonek, R. De Almeida: A note on a generalized Joukowski transformation, Applied Mathematics Letters, 23, 2010, 1174-1178.

H. R. Malonek, M. I. Falcão: 3D-mappings by means of monogenic functions and their approximation, Math. Methods Appl. Sci., 33, 2010, 423-430.

H. R. Malonek, D. Peña Peña, F. Sommen: Fischer decomposition by inframonogenic functions, CUBO, A Mathematical Journal, 12 (2), 2010, 189-197.

Paula Cerejeiras, Nelson Vieira: Fundamental solutions of the instationary Schrödinger difference operator, Journal of Difference Equations and Applications,, 16 (11), 2010, 1349-1365.

D. Peña Peña, F. Sommen: A note on the Fueter theorem, Advances in Applied Clifford Algebras, 20 (2), 2010, 379-391.

D. Peña Peña, F. Sommen: Fueter’s theorem: the saga continues, Journal of Mathematical Analysis and Applications, 365 (1), 2010, 29-35.

G. Ren: Howe duality in Dunkl superspace, Science in China - Mathematics, 53, 2010, 3153-3162.

X. You, L. Du, Y. Cheung, Q. Chen: A blind watermarking scheme using new nontensor product wavelet filter banks, IEEE Transactions on Image Processing, 19, 2010, 3271-3284.

Papers in International Conference Proceedings with referees

R. Almeida, F. Bastos, A. Teixeira: On Polynomiality of a Predictor-Corrector Variant. Algorithm, ICNAAM 2010: International Conference on Numerical Analysis and Applied Mathematics 2010, T.E. Simos, G. Psihoyios and Ch. Tsitouras, AIP Conference Proceedings, 1281, Vol.2, 959-963, Rhodes, Greece, 19-25 September, 2010.

I. Cação: Monogenic generalized Hermite polynomials and associated Hermite-Bessel functions, ICNAAM 2010: International Conference on Numerical Analysis and Applied Mathematics 2010, T.E. Simos, G. Psihoyios and Ch. Tsitouras, AIP Conference Proceedings, 1281, Vol.2, 1455-1458, Rhodes, Greece, 2010.

D. Constales, R. De Almeida, R.S. Krausshar: On a Generalization of Valiron’s Inequality for k-hypermonogenic Functions on Upper Half-Space, ICNAAM 2010: International Conference on Numerical Analysis and Applied Mathematics 2010, T.E. Simos, G. Psihoyios and Ch. Tsitouras, AIP Conference Proceedings, 1281, Vol.3, 1464-1468, Rhodes, Greece, 19-25 September, 2010.

K. Guerlebeck, J. Morais: On the construction of harmonic conjugates in the context of quaternionic analysis, ICNAAM 2010: International Conference on Numerical Analysis and Applied Mathematics 2010, T.E. Simos, G. Psihoyios and Ch. Tsitouras, AIP Conference Proceedings, 1281, Vol. 2, 1496-1499, Rhodes, Greece, 2010.

H. R. Malonek, M. I. Falcão: On Special Functions in the Context of Clifford Analysis, ICNAAM 2010, International Conference on Numerical Analysis and Applied Mathematics 2010, T. E. Simos, G. Psihoyios, and Ch. Tsitouras, AIP Conference Proceedings, 1281, Vol. 2, 1492-1495, Rhodes, Greece, 19-25 September, 2010.

J. Morais, H. T. Le and W. Sproessig: Approximation of monogenic functions by means of monogenic polynomials in R4, ICNAAM 2010: International Conference on Numerical Analysis and Applied Mathematics 2010, T.E. Simos, G. Psihoyios and Ch. Tsitouras, AIP Conference Proceedings, 1281, Vol. 2, 1488-1491, Rhodes, Greece, 2010.

G. Tomaz, H. R. Malonek†: Special Block Matrices and Multivariate Polynomials, ICNAAM 2010, International Conference on Numerical Analysis and Applied Mathematics 2010, T. E. Simos, G. Psihoyios, and Ch. Tsitouras, AIP Conference Proceedings, 1281, Vol. 2, 1515-1518, Rhodes, Greece, 19-25 September, 2010, 2010.