Clifford Algebras And Their Applications In Mathematical Physics, Vol. 2: Clifford Analysis,New

Clifford Algebras And Their Applications In Mathematical Physics, Vol. 2: Clifford Analysis,New

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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 BorelPompeiu Formula in ?n and Its Application to Inverse Scattering Theory. ComplexDistance Potential Theory and Hyperbolic Equations. Specific Representations for Members of the Holonomy Group. An Extension of Clifford Analysis Towards Supersymmetry. 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 CauchyRiemann 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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