Integral representations for spatial models of mathematical physics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow
Longman
1996
|
| Edition: | 1. publ. |
| Series: | Pitman research notes in mathematics series
351 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 247 S. |
| ISBN: | 0582297419 |
Staff View
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| 100 | 1 | |a Kravčenko, Vladislav V. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Integral representations for spatial models of mathematical physics |c Vladislav V. Kravchenko and Michael V. Shapiro |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow |b Longman |c 1996 | |
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Record in the Search Index
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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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| bvnumber | BV011134202 |
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| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV011134202 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:04:33Z |
| institution | BVB |
| isbn | 0582297419 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007461603 |
| oclc_num | 439251933 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-188 |
| owner_facet | DE-12 DE-384 DE-188 |
| physical | 247 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Longman |
| record_format | marc |
| 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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