Modern Trends in Hypercomplex Analysis

by Swanhild Bernstein (Editor), Uwe Kähler (Editor), Irene Sabadini (Editor), Franciscus Sommen (Editor)

Overview

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.

Product Details

ISBN-13:	9783319826028
Publisher:	Springer International Publishing
Publication date:	04/28/2018
Series:	Trends in Mathematics
Edition description:	Softcover reprint of the original 1st ed. 2016
Pages:	310
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

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.