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" Clifford Algebras and their Applications in Mathematical Physics "
edited by John Ryan, Wolfgang Sprößig.
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BL
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573529
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b402748
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| Main Entry
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Ryan, John.
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| Title & Author
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Clifford Algebras and their Applications in Mathematical Physics : Volume 2: Clifford Analysis /\ edited by John Ryan, Wolfgang Sprößig.
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| Publication Statement
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Boston, MA :: Birkhäuser Boston :: Imprint: Birkhäuser,, 2000.
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| Series Statement
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Progress in Physics ;; 19
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| ISBN
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9781461213741
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: 9781461271192
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| Contents
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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.
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Mathematics.
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Global differential geometry.
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Mathematical physics.
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Sprößig, Wolfgang.
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SpringerLink (Online service)
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