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.
Inhaltsverzeichnis
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.
