03536nam 22006255 450 991015330220332120251002143416.03-319-42529-310.1007/978-3-319-42529-0(CKB)3710000000961043(DE-He213)978-3-319-42529-0(MiAaPQ)EBC4747054(PPN)197137563(MiAaPQ)EBC6241900(EXLCZ)99371000000096104320161122d2016 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierModern Trends in Hypercomplex Analysis /edited by Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Franciscus Sommen1st ed. 2016.Cham :Springer International Publishing :Imprint: Birkhäuser,2016.1 online resource (VII, 310 p. 20 illus., 3 illus. in color.)Trends in Mathematics,2297-024X3-319-42528-5 Includes bibliographical references at the end of each chapters.Cauchy–Pompeiu Formula for Multi-meta-weighted-monogenic Functions of first class -- Greedy Algorithms and Rational Approximation in One and Several Variables -- A. Kolmogorov and M. Riesz Theorems for Octonion-valued Monogenic Functions -- Compressed Sensing with Nonlinear Fourier Atoms -- Script Geometry -- A Panorama on Quaternionic Spectral Theory and Related Functional Calculi -- Models for Some Irreducible Representations of so(m,C) in Discrete Clifford Analysis -- Gegenbauer Type Polynomial Solutions for the Higher Spin Laplace Operator -- A New Cauchy Type Integral Formula for Quaternionic k-hypermonogenic Functions -- Eigenfunctions and Fundamental Solutions of the Caputo Fractional Laplace and Dirac Operators -- Three-dimensional Analogue of Kolosov–Muskhelishvili Formulae -- On Some Properties of Pseudo-complex Polynomials -- Slice Regular Functions on Regular Quadratic Cones of Real Alternative Algebras -- Differential Forms and Clifford Analysis -- Examples of Morphological Calculus.This book contains a selection of papers presented at the session "Quaternionic and Clifford Analysis" at the 10th ISAAC Congress held in Macau in August 2015. The covered topics represent the state-of-the-art as well as new trends in hypercomplex analysis and its applications.Trends in Mathematics,2297-024XFunctions of complex variablesTopological groupsLie groupsFunctions of a Complex VariableTopological Groups and Lie GroupsSeveral Complex Variables and Analytic SpacesFunctions of complex variables.Topological groups.Lie groups.Functions of a Complex Variable.Topological Groups and Lie Groups.Several Complex Variables and Analytic Spaces.510Bernstein Swanhildedthttp://id.loc.gov/vocabulary/relators/edtKähler Uweedthttp://id.loc.gov/vocabulary/relators/edtSabadini Ireneedthttp://id.loc.gov/vocabulary/relators/edtSommen F.edthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910153302203321Modern trends in hypercomplex analysis1523469UNINA