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072 7 _aPBMP
_2bicssc
072 7 _aMAT012030
_2bisacsh
082 0 4 _222
_a530.152
100 1 _aRyan, John.
210 1 0 _aClifford Algebras and their Applications in Mathematical Physics
245 1 0 _aClifford Algebras and their Applications in Mathematical Physics.
_bVolume 2: Clifford Analysis /
_cedited by John Ryan, Wolfgang Sprössig.
260 _aBoston :
_bBirkhäuser,
_c2000
300 _aV. 2, xxii, 320 p.
_c23 cm.
490 1 _aProgress in Physics ;
_v19
505 0 _a1 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.
650 0 _aMathematics.
650 0 _aGlobal differential geometry.
650 0 _aMathematical physics.
650 1 4 _aMathematics.
650 2 4 _aDifferential Geometry.
650 2 4 _aMathematical Methods in Physics.
700 1 _aSprössig, Wolfgang.
_eeditor.
830 0 _aProgress in Physics ;
_v19
942 _2ddc
_cLIBRO
999 _c707