Holdings: Partial differential equations in Clifford analysis

Partial differential equations in Clifford analysis:

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Bibliographic Details
Main Author:	Obolashvili, Elena I. 1925- (Author)
Format:	Book
Language:	English
Published:	Harlow Longman 1998
Edition:	1. publ.
Series:	Pitman monographs and surveys in pure and applied mathematics 96
Subjects:	Clifford algebras Differential equations, Partial Clifford-Analysis Partielle Differentialgleichung
Online Access:	Inhaltsverzeichnis
Physical Description:	152 S.
ISBN:	0582317495

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Record in the Search Index

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adam_text	IMAGE 1 PITMAN MONOGRAPHS AND SURVEYS IN PURE AND APPLIED MATHEMATICS 96 PARTIAL DIFFERENTIAL EQUATIONS IN CLIFFORD ANALYSIS ELENA OBOLASHVILI TBILISI STATE UNIVERSITY 1T LONGMAN IMAGE 2 CONTENTS INTRODUCTION 1 CHAPTER I. PRINCIPLES OF CLIFFORD ALGEBRA A ND ANALYSIS 4 1 T HE BASIC NOTIONS A ND DEFINITIONS 4 2 M A T R IX REPRESENTATIONS OF CLIFFORD ALGEBRAS FOR ANY DIMENSION 9 3 DIFFERENTIAL OPERATORS AND CLASSIFICATION 14 4 LORENTZ TRANSFORMATIONS IN THE ELLIPTIC A ND HYPERBOLIC CASES 22 CHAPTER IL ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS 26 0 I N T R O D U C T I ON 26 1 CAUCHY KERNEL AND REPRESENTATIONS FOR /I-REGULAR FUNCTIONS IN RI N ) 30 2 EXTENSION THEOREMS AND T HE RIEMANN-SCHWARZ PRINCIPLE OF REFLECTION 38 3 T HE POINCARE-BERTRAND TRANSFORMATION FORMULA 41 4 GENERALIZED RIESZ SYSTEM 45 5 T HE BASIC JD-THEORY OF T HE FOURIER INTEGRAL TRANSFORMATION 49 6 B O U N D A RY VALUE PROBLEMS FOR REGULAER FUNCTIONS WITH VALUES IN R( N ) 61 7 B O U N D A RY VALUE PROBLEMS FOR /I-REGULAR FUNCTIONS WITH VALUES IN *SS(N), N 1 . 69 8 T HE BELTRAMI EQUATION IN R( N ) 72 CHAPTER III. HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS 78 0 I N T R O D U C T I ON 78 1 GENERALIZED MAXWELL AND DIRAC EQUATIONS 81 2 T HE HYPERBOLIC BELTRAMI EQUATION 86 3 INITIAL VALUE PROBLEMS FOR T HE KLEIN-GORDON EQUATION 90 4 CAUCHY S INITIAL VALUE PROBLEM A ND ITS MODIFICATION FOR T HE REGULAER AND /I-REGULAR FUNCTIONS WITH VALUES IN RT N ,N-I) A N I IN R(N,N-2), N 3 97 IMAGE 3 CONTENTS C H A P T ER IV. PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS 103 0 INTRODUCTION 103 1 PARABOLIC REGULAER SYSTEM OF T HE FIRST KIND 104 2 INITIAL VALUE PROBLEMS FOR PARABOLIC EQUATIONS OF T HE FIRST KIND 108 3 PARABOLIC REGULAER EQUATIONS OF T HE SECOND KIND AND INITIAL VALUE PROBLEMS 114 C H A P T ER V. EFFECTIVE SOLUTIONS OF SOME NON-LOCAL PROBLEMS 118 0 I N T R O D U C T I ON 118 1 WIENER-HOPF AND DUAL INTEGRAL EQUATIONS OF CONVOLUTION T Y PE 120 2 GENERALIZED WIENER-HOPF INTEGRAL EQUATION WITH TWO KERNEIS DEPENDING ON T HE DIFFERENCE AND S UM OF T HE ARGUMENTS 123 3 DUAL INTEGRAL EQUATIONS WITH KERNEIS DEPENDING ON T HE DIFFERENCE AND S UM OF A R G U M E N TS 125 4 NON-LOCAL PROBLEMS FOR HOLOMORPHIC FUNCTIONS A ND APPLICATIONS IN ELASTICITY THEORY 127 5 NON-LOCAL PROBLEMS FOR GENERALIZED HOLOMORPHIC FUNCTIONS A ND T HE GENERALIZED BELTRAMI EQUATION 135 6 NON-LOCAL PROBLEMS FOR POLYHARMONIC FUNCTIONS 139 EPILOGUE 146 BIBLIOGRAPHY 147
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author	Obolashvili, Elena I. 1925-
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indexdate	2024-07-09T18:43:57Z
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isbn	0582317495
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series	Pitman monographs and surveys in pure and applied mathematics
series2	Pitman monographs and surveys in pure and applied mathematics
spelling	Obolashvili, Elena I. 1925- Verfasser (DE-588)124363415 aut Partial differential equations in Clifford analysis Elena Obolashvili 1. publ. Harlow Longman 1998 152 S. txt rdacontent n rdamedia nc rdacarrier Pitman monographs and surveys in pure and applied mathematics 96 Clifford algebras Differential equations, Partial Clifford-Analysis (DE-588)4484012-3 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Clifford-Analysis (DE-588)4484012-3 s DE-604 Pitman monographs and surveys in pure and applied mathematics 96 (DE-604)BV000022446 96 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009091090&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Obolashvili, Elena I. 1925- Partial differential equations in Clifford analysis Pitman monographs and surveys in pure and applied mathematics Clifford algebras Differential equations, Partial Clifford-Analysis (DE-588)4484012-3 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd
subject_GND	(DE-588)4484012-3 (DE-588)4044779-0
title	Partial differential equations in Clifford analysis
title_auth	Partial differential equations in Clifford analysis
title_exact_search	Partial differential equations in Clifford analysis
title_full	Partial differential equations in Clifford analysis Elena Obolashvili
title_fullStr	Partial differential equations in Clifford analysis Elena Obolashvili
title_full_unstemmed	Partial differential equations in Clifford analysis Elena Obolashvili
title_short	Partial differential equations in Clifford analysis
title_sort	partial differential equations in clifford analysis
topic	Clifford algebras Differential equations, Partial Clifford-Analysis (DE-588)4484012-3 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd
topic_facet	Clifford algebras Differential equations, Partial Clifford-Analysis Partielle Differentialgleichung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009091090&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000022446
work_keys_str_mv	AT obolashvilielenai partialdifferentialequationsincliffordanalysis

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