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Title: Clifford Algebras and their Applications in Mathematical Physics ([EBook]) : Volume 2: Clifford Analysis/ edited by John Ryan, Wolfgang Sprößig. Dewey Class: 516.36 Added Personal Name: Ryan, John. editor. Sprößig, Wolfgang. editor. Publication: Boston, MA : Birkhäuser, 2000. Other name(s): SpringerLink (Online service) Physical Details: XXII, 320 pages : online resource. Series: Progress in Physics ;; 19 ISBN: 9781461213741 System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) 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. ------------------------------ *** There are no holdings for this record *** -----------------------------------------------
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