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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 12: The Schwarzian and Möbius Transformations in Higher Dimensions
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Chapter title
The Schwarzian and Möbius Transformations in Higher Dimensions
Chapter number 12
Book title
Clifford Algebras and their Applications in Mathematical Physics
Published by
Birkhäuser, Boston, MA, January 2000
DOI 10.1007/978-1-4612-1374-1_12
Book ISBNs
978-1-4612-7119-2, 978-1-4612-1374-1
Authors

Masaaki Wada, Osamu Kobayashi

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