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Clifford Algebras and their Applications in Mathematical Physics

Volume 2: Clifford Analysis
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Description



Table of Contents

1 Partial Differential Equations and Boundary Value Problems.- On Quaternionic Beltrami Equations.- The Mobius Transformation, Green Function and the Degenerate Elliptic Equation.- Quaternionic Analysis in Fluid Mechanics.- 2 singular Integral Operators.- Fourier Theory Under Mobius Transformations.- On the Cauchy Type Integral and the Riemann Problem.- Convolution and Maximal Operator Inequalities in Clifford Analysis.- 3 Applications in Geometry and Physics.- A Borel-Pompeiu Formula in ?n and Its Application to Inverse Scattering Theory.- Complex-Distance Potential Theory and Hyperbolic Equations.- Specific Representations for Members of the Holonomy Group.- An Extension of Clifford Analysis Towards Super-symmetry.- The Geometry of Generalized Dirac Operators and the Standard Model of Particle Physics.- 4 Mobius Transformations and Monogenic Functions.- The Schwarzian and Mobius Transformarions in Higher Dimensions.- The Structure of Monogenic Functions.- On the Radial Part of the Cauchy-Riemann Operator.- Hypercomplex Derivability - The Characterization of Monogenic Functions in ?n+1 by Their Derivative.- Hypermonogenic Functions.- Reproducing Kernels for Hyperbolic Spaces.
Release date Australia
October 14th, 2012
Audience
  • Professional & Vocational
Contributors
  • Edited by John Ryan
  • Edited by Wolfgang Sprossig
Edition
Softcover reprint of the original 1st ed. 2000
Illustrations
XXII, 320 p.
Pages
320
Dimensions
155x235x18
ISBN-13
9781461271192
Product ID
21575304

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