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Author:   Elena Obolashvili
Publisher:   Taylor & Francis Ltd
Imprint:   Chapman & Hall/CRC
Volume:   96
Dimensions:   Width: 21.00cm , Height: 1.40cm , Length: 28.00cm
Weight:   0.363kg
ISBN:  

9780582317499

ISBN 10:   0582317495
Pages:   160
Publication Date:   06 January 1999
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   Out of stock  

Table of Contents

Introduction Principles of Clifford Algebra and Analysis The Basic Notions and Definitions Matrix Representations of Clifford Algebras for any Dimension Differential Operators and Classification Lorentz Transformations in the Elliptic and Hyperbolic Cases Elliptic Partial Differential Equations Introduction Cauchy Kernel and Representations for h-regular Functions in R(n) Extension Theorems and The Riemann-Schwarz Principle of Reflection The Poincaré-Bertrand Transformation Formula Generalized Riesz System The Basic L-Theory of the Fourier Integral Transformation Boundary Value Problems for Regular Functions with Values in R(n) Boundary Value Problems for h-Regular Functions with Values in R(n), n³1 The Beltrami Equation in R(n) Hyperbolic Partial Differential Equations Introduction Generalized Maxwell and Dirac Equations The Hyperbolic Beltrami Equation Initial Value Problems for the Klein-Gordon Equation Cauchy's Initial Value Problem and its Modification for the Regular and h-Regular Functions with Values in R(n,n-1) and in R(n,n-2), n³3 Parabolic Partial Differential Equations Introduction Parabolic Regular System of the First Kind Initial Value Problems for Parabolic Equations of the First Kind Parabolic Regular Equations of the Second Kind and Initial Value Problems Effective Solutions for Some Non-Local Problems Introduction Wiener-Hopf and Dual Integral Equations of Convolution Type Generalized Wiener-Hopf Integral Equation with Two Kernels Depending on the Difference and Sum of the Arguments Dual Integral Equations with Kernels Depending on the Difference and Sum of Arguments Non-Local Problems for Holomorphic Functions and Applications in Elasticity Theory Non-Local Problems for Generalized Holomorphic Functions and the Generalized Beltrami Equation Non-Local Problems for Polyharmonic Functions Epilogue Bibliography

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