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Clifford Algebras and their Applications in Mathematical Physics

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Cover of 'Clifford Algebras and their Applications in Mathematical Physics'

Table of Contents

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    Book Overview
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    Chapter 1 On Quaternionic Beltrami Equations
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    Chapter 2 The Möbius Transformation, Green Function and the Degenerate Elliptic Equation
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    Chapter 3 Quaternionic Analysis in Fluid Mechanics
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    Chapter 4 Fourier Theory Under Möbius Transformations
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    Chapter 5 On the Cauchy Type Integral and the Riemann Problem
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    Chapter 6 Convolution and Maximal Operator Inequalities in Clifford Analysis
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    Chapter 7 A Borel-Pompeiu Formula in ℂ n and Its Application to Inverse Scattering Theory
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    Chapter 8 Complex-Distance Potential Theory and Hyperbolic Equations
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    Chapter 9 Specific Representations for Members of the Holonomy Group
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    Chapter 10 An Extension of Clifford Analysis Towards Super-symmetry
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    Chapter 11 The Geometry of Generalized Dirac Operators and the Standard Model of Particle Physics
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    Chapter 12 The Schwarzian and Möbius Transformations in Higher Dimensions
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    Chapter 13 The Structure of Monogenic Functions
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    Chapter 14 On the Radial Part of the Cauchy-Riemann Operator
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    Chapter 15 Hypercomplex Derivability — The Characterization of Monogenic Functions in ℝ n +1 by Their Derivative
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    Chapter 16 Hypermonogenic Functions
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    Chapter 17 Reproducing Kernels for Hyperbolic Spaces
Attention for Chapter 11: The Geometry of Generalized Dirac Operators and the Standard Model of Particle Physics
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