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Clifford Algebras and their Applications in Mathematical Physics: Volume 2: Clifford Analysis
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Catalogue Information
Field name
Details
Dewey Class
516.36
Title
Clifford Algebras and their Applications in Mathematical Physics ([EBook]) : Volume 2: Clifford Analysis / edited by John Ryan, Wolfgang Sprößig.
Added Personal Name
Ryan, John
Sprößig, Wolfgang
Other name(s)
SpringerLink (Online service)
Publication
Boston, MA : Birkhäuser , 2000.
Physical Details
XXII, 320 pages : online resource.
Series
Progress in physics
; 19
ISBN
9781461213741
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4612-1374-1
Links to Related Works
Subject References:
Clifford algebras
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Differential Geometry
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Mathematical Methods in Physics
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Mathematical Physics
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Physics
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Authors:
editor
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Ryan, John
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Sprößig, Wolfgang
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Corporate Authors:
SpringerLink (Online service)
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Series:
Progress in physics
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Classification:
516.36
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516.36 (DDC 22)
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