Clifford Algebras and their Applications in Mathematical Physics
Volume 2: Clifford Analysis
Published on 14. October 2012
Book
Paperback/Softback
XXII, 320 pages
978-1-4612-7119-2 (ISBN)
Description
1 Partial Differential Equations and Boundary Value Problems.- On Quaternionic Beltrami Equations.- The Möbius Transformation, Green Function and the Degenerate Elliptic Equation.- Quaternionic Analysis in Fluid Mechanics.- 2 singular Integral Operators.- Fourier Theory Under Möbius 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 Möbius Transformations and Monogenic Functions.- The Schwarzian and Möbius 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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 2000
Language
English
Place of publication
Boston
United States
Target group
Professional and scholarly
Research
Illustrations
XXII, 320 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 19 mm
Weight
528 gr
ISBN-13
978-1-4612-7119-2 (9781461271192)
DOI
10.1007/978-1-4612-1374-1
Schweitzer Classification
Other editions
Additional editions
John Ryan | Wolfgang Sprößig
Clifford Algebras and their Applications in mathematical Physics / Clifford Algebras and their Applications in Mathematical Physics
Volume 2: Clifford Analysis
Book
07/2000
1st Edition
Birkhauser Boston
€96.00
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Content
1 Partial Differential Equations and Boundary Value Problems.- On Quaternionic Beltrami Equations.- The Möbius Transformation, Green Function and the Degenerate Elliptic Equation.- Quaternionic Analysis in Fluid Mechanics.- 2 singular Integral Operators.- Fourier Theory Under Möbius 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 Möbius Transformations and Monogenic Functions.- The Schwarzian and Möbius 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.