Clifford Algebras and their Applications in Mathematical Physics

Volume 2: Clifford Analysis
Herausgegeben:Ryan, John; Sprößig, Wolfgang

• Broschiertes Buch

Produktbeschreibung

1 Partial Differential Equations and Boundary Value Problems.- On Quaternionic Beltrami Equations.- The M¿bius Transformation, Green Function and the Degenerate Elliptic Equation.- Quaternionic Analysis in Fluid Mechanics.- 2 singular Integral Operators.- Fourier Theory Under M¿bius 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 M¿bius Transformations and Monogenic Functions.- The Schwarzian and M¿bius 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.

Produktdetails

• Progress in Mathematical Physics 19
• Verlag: Birkhäuser / Birkhäuser Boston / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4612-7119-2
• Softcover reprint of the original 1st ed. 2000
• Seitenzahl: 348
• Erscheinungstermin: 14. Oktober 2012
• Englisch
• Abmessung: 235mm x 155mm x 19mm
• Gewicht: 534g
• ISBN-13: 9781461271192
• ISBN-10: 1461271193
• Artikelnr.: 39162642

Inhaltsangabe

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.