Integral representations for spatial models of mathematical physics

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Hauptverfasser: Kravčenko, Vladislav V. (VerfasserIn), Šapiro, Michail V. (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Harlow Longman 1996
Ausgabe:1. publ.
Schriftenreihe:Pitman research notes in mathematics series 351
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Datensatz im Suchindex

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adam_text Contents 0 Introduction and some remarks on generalizations of complex analy sis 1 1 a holomorphic function theory 23 1 Algebras of real and complex quaternions 23 2 Helmholtz Operator with complex and quaternionic wave number .... 29 3 Notion of a holomorphic function 49 4 Integral formulas for a holomorphic functions 65 5 Boundary value properties of a holomorphic functions 82 6 Boundary value problems for a holomorphic functions 113 7 Vectorial reformulation of some quaternionic objects and results .... 118 2 Electrodynamical modeis 123 8 The classical Maxwell equations 123 9 Relation between electromagnetic fields and a holomorphic functions . 127 10 Integral representations of electrodynamical quantities 132 11 Boundary value problems for time harmonic electromagnetic fields . . . 138 3 Massive spinor fields 147 12 The classical Dirac equation and its biquaternionic reformulation .... 147 13 Integral representations and boundary value problems for time harmonic spinor fields 158 14 Boundary integral criteria for the MIT bag model 163 4 Hypercomplex factorization, Systems of non linear partial differential equations generated by Füter type Operators 169 15 Notion of hypercomplex factorization and applications to mathematical physics 169 16 Self duality equation and other Systems of non linear partial differential equations generated by the Füter type Operators 182 Appendices 191 1 Real quaternions 191 2 Representations of real quaternions 210 3 Complex quaternions 220 4 a holomorphic functions of two real variables 226 Bibliography 235 Index 246
any_adam_object 1
author Kravčenko, Vladislav V.
Šapiro, Michail V.
author_facet Kravčenko, Vladislav V.
Šapiro, Michail V.
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publishDate 1996
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publisher Longman
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series Pitman research notes in mathematics series
series2 Pitman research notes in mathematics series
spelling Kravčenko, Vladislav V. Verfasser aut
Integral representations for spatial models of mathematical physics Vladislav V. Kravchenko and Michael V. Shapiro
1. publ.
Harlow Longman 1996
247 S.
txt rdacontent
n rdamedia
nc rdacarrier
Pitman research notes in mathematics series 351
Analiza - Parcialne diferencialne enačbe
Integraldarstellung (DE-588)4127585-8 gnd rswk-swf
Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd rswk-swf
Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 s
Integraldarstellung (DE-588)4127585-8 s
DE-604
Šapiro, Michail V. Verfasser aut
Pitman research notes in mathematics series 351 (DE-604)BV000022845 351
HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007461603&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle Kravčenko, Vladislav V.
Šapiro, Michail V.
Integral representations for spatial models of mathematical physics
Pitman research notes in mathematics series
Analiza - Parcialne diferencialne enačbe
Integraldarstellung (DE-588)4127585-8 gnd
Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd
subject_GND (DE-588)4127585-8
(DE-588)4128900-6
title Integral representations for spatial models of mathematical physics
title_auth Integral representations for spatial models of mathematical physics
title_exact_search Integral representations for spatial models of mathematical physics
title_full Integral representations for spatial models of mathematical physics Vladislav V. Kravchenko and Michael V. Shapiro
title_fullStr Integral representations for spatial models of mathematical physics Vladislav V. Kravchenko and Michael V. Shapiro
title_full_unstemmed Integral representations for spatial models of mathematical physics Vladislav V. Kravchenko and Michael V. Shapiro
title_short Integral representations for spatial models of mathematical physics
title_sort integral representations for spatial models of mathematical physics
topic Analiza - Parcialne diferencialne enačbe
Integraldarstellung (DE-588)4127585-8 gnd
Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd
topic_facet Analiza - Parcialne diferencialne enačbe
Integraldarstellung
Nichtlineare partielle Differentialgleichung
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007461603&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link (DE-604)BV000022845
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