Modern trends in hypercomplex analysis / Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Franciscus Sommen, editors.

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.

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Bibliographic Details
Online Access: Full Text (via Springer)
Corporate Author: International Society for Analysis, Applications, and Computation. Congress
Other Authors: Bernstein, Swanhild (Editor), Kähler, Uwe (Editor), Sabadini, Irene, 1965- (Editor), Sommen, F. (Editor)
Format: eBook
Language:English
Published: Cham, Switzerland : Birkhäuser, 2016.
Series:Trends in mathematics.
Subjects:
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.