Clifford Algebras and their Applications in Mathematical Physics
Springer-Verlag New York Inc.
978-1-4612-7119-2 (ISBN)
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.
Erscheint lt. Verlag | 14.10.2012 |
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Reihe/Serie | Progress in Mathematical Physics ; 19 |
Zusatzinfo | XXII, 320 p. |
Verlagsort | New York |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Sachbuch/Ratgeber ► Natur / Technik ► Garten |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
Naturwissenschaften ► Physik / Astronomie | |
ISBN-10 | 1-4612-7119-3 / 1461271193 |
ISBN-13 | 978-1-4612-7119-2 / 9781461271192 |
Zustand | Neuware |
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