Clifford Algebras and their Applications in Mathematical Physics
Volume 2: Clifford Analysis
(Sprache: Englisch)
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Produktinformationen zu „Clifford Algebras and their Applications in Mathematical Physics “
Inhaltsverzeichnis zu „Clifford Algebras and their Applications in Mathematical Physics “
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.
Bibliographische Angaben
- 2012, Softcover reprint of the original 1st ed. 2000, XXII, 320 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Herausgegeben: John Ryan, Wolfgang Sprößig
- Verlag: Springer, Berlin
- ISBN-10: 1461271193
- ISBN-13: 9781461271192
Sprache:
Englisch
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