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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 3: A. Kolmogorov and M. Riesz Theorems for Octonion-valued Monogenic Functions
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