Clifford Algebras And Their Applications In Mathematical Physics: Clifford Analysis

John Ryan, Rafa Abamowicz, Wolfgang Sprobig

ISBN 10: 0817641831 / ISBN 13: 9780817641832

Verlag: Birkhäuser Boston, 2000

Brand New Original US Edition. Customer service! Satisfaction Guaranteed. Bestandsnummer des Verkäufers ASNNN-11120

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.

Bibliografische Details

Titel: Clifford Algebras And Their Applications In ...
Verlag: Birkhäuser Boston
Erscheinungsdatum: 2000
Einband: Hardcover
Zustand: New