Clifford Algebras and Their Applications in Mathematical Physics, Vol. 2: Clifford Analysis

John Ryan; Wolfgang Sproessig

ISBN 10: 0817641831 / ISBN 13: 9780817641832

Edité par Birkhäuser Boston, 2000

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Détails bibliographiques

• Titre: Clifford Algebras and Their Applications in Mathematical Physics, Vol. 2: Clifford Analysis
• Éditeur: Birkhäuser Boston
• Date de parution: 2000
• Langue: anglais
• ISBN à 10 chiffres: 0817641831
• ISBN à 13 chiffres: 9780817641832
• Reliure: Couverture rigide
• État de l'article: Neuf

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Synopsis

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.