Modern Trends in Hypercomplex Analysis

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.

List 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.

Summary

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

• Assisted by: Swanhild Bernstein (Editor), Uw Kähler (Editor), Uwe Kähler (Editor), Irene Sabadini (Editor), Irene Sabadini et al (Editor), Franciscus Sommen (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2016
• EAN: 9783319425283
• ISBN: 978-3-31-942528-3
• No. of pages: 310
• Dimensions: 200 mm x 24 mm x 242 mm
• Weight: 590 g
• Illustrations: VII, 310 p. 20 illus., 3 illus. in color.
• Series: Trends in Mathematics; Birkhäuser; Trends in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; C, Mathematics and Statistics, Topological Groups, Lie Groups, Topological groups, Lie groups, Topological Groups and Lie Groups, Complex analysis, complex variables, Groups & group theory, Functions of a Complex Variable, Functions of complex variables, Several Complex Variables and Analytic Spaces