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Modern trends in hypercomplex analysis

Bernstein, Swanhild.

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Modern trends in hypercomplex analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Modern trends in hypercomplex analysis/ edited by Swanhild Bernstein ... [et al.].
other author:	Bernstein, Swanhild.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	vii, 310 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Mathematical analysis - Congresses. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-42529-0
ISBN:	9783319425290

Modern trends in hypercomplex analysis
Modern trends in hypercomplex analysis[electronic resource] /edited by Swanhild Bernstein ... [et al.]. - Cham :Springer International Publishing :2016. - vii, 310 p. :ill., digital ;24 cm. - Trends in mathematics,2297-0215. - Trends in mathematics..

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.

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.

ISBN: 9783319425290

Standard No.: 10.1007/978-3-319-42529-0doiSubjects--Topical Terms:

668558
Mathematical analysis
--Congresses.

LC Class. No.: QA299.6

Dewey Class. No.: 515

Modern trends in hypercomplex analysis
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505 0 $a 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.
520 $a 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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