Clifford Algebras and Their Applications in Mathematical Physics (Progress in Mathematical Physics)

John Ryan

ISBN 10: 1461271193 / ISBN 13: 9781461271192

Editore: Springer 2000-06-22, 2000

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Codice articolo 6666-IUK-9781461271192

Dati bibliografici

• Titolo: Clifford Algebras and Their Applications in Mathematical Physics (Progress in Mathematical Physics)
• Editore: Springer 2000-06-22
• Data di pubblicazione: 2000
• Lingua: Inglese
• ISBN 10: 1461271193
• ISBN 13: 9781461271192
• Rilegatura: Paperback
• Condizione: New

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Contenuti

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.