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＜電子ブック＞
Clifford Algebras and their Applications in Mathematical Physics : Volume 2: Clifford Analysis / edited by John Ryan, Wolfgang Sprößig
(Progress in Mathematical Physics. ISSN:21971846 ; 19)

版	1st ed. 2000.
出版者	(Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser)
出版年	2000
本文言語	英語
大きさ	XXII, 320 p : online resource
著者標目	Ryan, John editor Sprößig, Wolfgang editor SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Mathematical physics FREE:Differential Geometry FREE:Mathematical Methods in Physics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-1-4612-1374-1

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