bokomslag Clifford Algebras and their Applications in Mathematical Physics
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Clifford Algebras and their Applications in Mathematical Physics

John Ryan Wolfgang Sprig

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  • 320 sidor
  • 2012
1 Partial Differential Equations and Boundary Value Problems.- On Quaternionic Beltrami Equations.- The Mbius Transformation, Green Function and the Degenerate Elliptic Equation.- Quaternionic Analysis in Fluid Mechanics.- 2 singular Integral Operators.- Fourier Theory Under Mbius 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 Mbius Transformations and Monogenic Functions.- The Schwarzian and Mbius 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.

  • Författare: John Ryan, Wolfgang Sprig
  • Format: Pocket/Paperback
  • ISBN: 9781461271192
  • Språk: Engelska
  • Antal sidor: 320
  • Utgivningsdatum: 2012-10-14
  • Förlag: Springer-Verlag New York Inc.