Clifford Algebras and their Applications in Mathematical Physics. Volume 2: Clifford Analysis /
Ryan, John.
Clifford Algebras and their Applications in Mathematical Physics. Volume 2: Clifford Analysis / edited by John Ryan, Wolfgang Sprössig. - Boston : Birkhäuser, 2000 - V. 2, xxii, 320 p. 23 cm. - Progress in Physics ; 19 . - Progress in Physics ; 19 .
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.
9780817641832 = Clifford Algebras and their Applications in Mathematical Physics
Mathematics.
Global differential geometry.
Mathematical physics.
Mathematics.
Differential Geometry.
Mathematical Methods in Physics.
QA641-670
530.152
Clifford Algebras and their Applications in Mathematical Physics. Volume 2: Clifford Analysis / edited by John Ryan, Wolfgang Sprössig. - Boston : Birkhäuser, 2000 - V. 2, xxii, 320 p. 23 cm. - Progress in Physics ; 19 . - Progress in Physics ; 19 .
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.
9780817641832 = Clifford Algebras and their Applications in Mathematical Physics
Mathematics.
Global differential geometry.
Mathematical physics.
Mathematics.
Differential Geometry.
Mathematical Methods in Physics.
QA641-670
530.152