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Modern Trends in Hypercomplex Analysis

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Cover of 'Modern Trends in Hypercomplex Analysis'

Table of Contents

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    Book Overview
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    Chapter 1 Cauchy–Pompeiu Formula for Multi-meta-weighted-monogenic Functions of first class
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    Chapter 2 Modern Trends in Hypercomplex Analysis
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    Chapter 3 A. Kolmogorov and M. Riesz Theorems for Octonion-valued Monogenic Functions
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    Chapter 4 Compressed Sensing with Nonlinear Fourier Atoms
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    Chapter 5 Script Geometry
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    Chapter 6 A Panorama on Quaternionic Spectral Theory and Related Functional Calculi
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    Chapter 7 Models for Some Irreducible Representations of $$\mathfrak{so}(m, \mathbb{C})$$ in Discrete Clifford Analysis
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    Chapter 8 Gegenbauer Type Polynomial Solutions for the Higher Spin Laplace Operator
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    Chapter 9 A New Cauchy Type Integral Formula for Quaternionic k-hypermonogenic Functions
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    Chapter 10 Eigenfunctions and Fundamental Solutions of the Caputo Fractional Laplace and Dirac Operators
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    Chapter 11 Three-dimensional Analogue of Kolosov–Muskhelishvili Formulae
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    Chapter 12 On Some Properties of Pseudo-complex Polynomials
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    Chapter 13 Slice Regular Functions on Regular Quadratic Cones of Real Alternative Algebras
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    Chapter 14 Differential Forms and Clifford Analysis
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    Chapter 15 Examples of Morphological Calculus
Attention for Chapter 13: Slice Regular Functions on Regular Quadratic Cones of Real Alternative Algebras
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Chapter title
Slice Regular Functions on Regular Quadratic Cones of Real Alternative Algebras
Chapter number 13
Book title
Modern Trends in Hypercomplex Analysis
Published by
Birkhäuser, Cham, January 2016
DOI 10.1007/978-3-319-42529-0_13
Book ISBNs
978-3-31-942528-3, 978-3-31-942529-0
Authors

Guangbin Ren, Xieping Wang, Zhenghua Xu

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