1.

Record Nr.

UNINA9910153302203321

Titolo

Modern Trends in Hypercomplex Analysis / / edited by Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Franciscus Sommen

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016

ISBN

3-319-42529-3

Edizione

[1st ed. 2016.]

Descrizione fisica

1 online resource (VII, 310 p. 20 illus., 3 illus. in color.)

Collana

Trends in Mathematics, , 2297-024X

Disciplina

510

Soggetti

Functions of complex variables

Topological groups

Lie groups

Functions of a Complex Variable

Topological Groups and Lie Groups

Several Complex Variables and Analytic Spaces

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references at the end of each chapters.

Nota di contenuto

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.

Sommario/riassunto

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.