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.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Bernstein, Swanhild (Editor ), Kähler, Uwe (Editor ), Sabadini, Irene (Editor ), Sommen, Franciscus (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Edición:1st ed. 2016.
Colección:Trends in Mathematics,
Temas:
Functions of complex variables.
Topological groups.
Lie groups.
Functions of a Complex Variable.
Topological Groups and Lie Groups.
Several Complex Variables and Analytic Spaces.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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