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Modern Trends in Hypercomplex Analysis / edited by Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Franciscus Sommen.

Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International Available online

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Format:
Book
Contributor:
Bernstein, Swanhild, Editor.
Kähler, Uwe, Editor.
Sabadini, Irene., Editor.
Sommen, F., Editor.
Series:
Trends in Mathematics, 2297-024X
Language:
English
Subjects (All):
Functions of complex variables.
Topological groups.
Lie groups.
Functions of a Complex Variable.
Topological Groups and Lie Groups.
Several Complex Variables and Analytic Spaces.
Local Subjects:
Functions of a Complex Variable.
Topological Groups and Lie Groups.
Several Complex Variables and Analytic Spaces.
Physical Description:
1 online resource (VII, 310 p. 20 illus., 3 illus. in color.)
Edition:
1st ed. 2016.
Place of Publication:
Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
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.
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.
Notes:
Includes bibliographical references at the end of each chapters.
ISBN:
3-319-42529-3

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