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1 Partial Differential Equations and Boundary Value Problems.- On Quaternionic Beltrami Equations.- The M¿bius Transformation, Green Function and the Degenerate Elliptic Equation.- Quaternionic Analysis in Fluid Mechanics.- 2 singular Integral Operators.- Fourier Theory Under M¿bius 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 M¿bius Transformations and Monogenic Functions.- The Schwarzian and M¿bius 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.
| Serija: | Progress in Mathematical Physics |
| Leidėjas: | Birkhäuser Boston |
| Išleidimo metai: | 2012 |
| Knygos puslapių skaičius: | 348 |
| ISBN-10: | 1461271193 |
| ISBN-13: | 9781461271192 |
| Formatas: | 235 x 155 x 19 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Clifford Algebras and their Applications in Mathematical Physics: Volume 2: Clifford Analysis“
