Foundations of algebraic analysis:
Gespeichert in:
Hauptverfasser: | , , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Princeton, NJ
Princeton University Press
1986
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Schriftenreihe: | Princeton mathematical series
37 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XII, 254 Seiten Diagramme |
ISBN: | 0691084130 |
Internformat
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245 | 1 | 0 | |a Foundations of algebraic analysis |c by Masaki Kashiwara, Takahiro Kawai and Tatsuo Kimura |
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Datensatz im Suchindex
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adam_text | Contents
Preface vii
Notations xi
Chapter I. Hyperfunctions 3
§1. Sheaf Theory 3
§2. Hyperfunctions as Boundary Values of Holomorphic
Functions 21
Chapter II. Microfunctions 35
§1. Definition of Microfunctions 35
§2. Vanishing Theorems of Relative Cohomology
Groups, Pure n Codimensionality of R with respect
to 0C* etc. 51
§3. Fundamental Exact Sequences 60
§4. Examples 81
Chapter III. Fundamental Operations 101
§1. Product, Restriction, and Substitution 101
§2. Integration 116
§3. Analyticity of Feynman Integrals 131
§4. Microlocal Operators and the Fundamental Theorem
of Sato 135
§5. The Wave Equation 145
§6. Fundamental Solutions for Regularly Hyperbolic
Operators 161
§7. The Flabbiness of the Sheaf of Microfunctions 168
§8. Appendix 179
Chapter IV. Microdifferential Operators 191
§1. Definition of the Microdifferential Operator and
Its Fundamental Properties 191
§2. Quantized Contact Transformation for
Microdifferential Operators 216
§3. Structures of Systems of Microdifferential Equations 228
References 248
Index 252
V
|
any_adam_object | 1 |
author | Kashiwara, Masaki 1947- Kawai, Takahiro 1945- Kimura, Tatsuo 1947- |
author_GND | (DE-588)122204344 (DE-588)108946133X (DE-588)1073960234 |
author_facet | Kashiwara, Masaki 1947- Kawai, Takahiro 1945- Kimura, Tatsuo 1947- |
author_role | aut aut aut |
author_sort | Kashiwara, Masaki 1947- |
author_variant | m k mk t k tk t k tk |
building | Verbundindex |
bvnumber | BV000526247 |
classification_rvk | SK 320 SK 350 SK 370 SK 500 |
classification_tum | MAT 260f MAT 584f |
ctrlnum | (OCoLC)241634980 (DE-599)BVBBV000526247 |
discipline | Mathematik |
format | Book |
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id | DE-604.BV000526247 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T15:15:14Z |
institution | BVB |
isbn | 0691084130 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000324542 |
oclc_num | 241634980 |
open_access_boolean | |
owner | DE-12 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-11 DE-188 |
owner_facet | DE-12 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-11 DE-188 |
physical | XII, 254 Seiten Diagramme |
publishDate | 1986 |
publishDateSearch | 1986 |
publishDateSort | 1986 |
publisher | Princeton University Press |
record_format | marc |
series | Princeton mathematical series |
series2 | Princeton mathematical series |
spelling | Kashiwara, Masaki 1947- (DE-588)122204344 aut Daisūkaisekigaku-no-kiso Foundations of algebraic analysis by Masaki Kashiwara, Takahiro Kawai and Tatsuo Kimura Princeton, NJ Princeton University Press 1986 XII, 254 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Princeton mathematical series 37 Aus dem Japananischen übersetzt Distribution Funktionalanalysis (DE-588)4070505-5 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differentialgleichungssystem (DE-588)4121137-6 gnd rswk-swf Algebraische Analysis (DE-588)4141832-3 gnd rswk-swf Mikrolokale Analysis (DE-588)4169832-0 gnd rswk-swf Mikrodifferentialoperator (DE-588)4169811-3 gnd rswk-swf Algebraische Analysis (DE-588)4141832-3 s DE-604 Mikrolokale Analysis (DE-588)4169832-0 s Mikrodifferentialoperator (DE-588)4169811-3 s Distribution Funktionalanalysis (DE-588)4070505-5 s Differentialgleichung (DE-588)4012249-9 s Analysis (DE-588)4001865-9 s Differentialgleichungssystem (DE-588)4121137-6 s Kawai, Takahiro 1945- (DE-588)108946133X aut Kimura, Tatsuo 1947- (DE-588)1073960234 aut Princeton mathematical series 37 (DE-604)BV000019035 37 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000324542&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Kashiwara, Masaki 1947- Kawai, Takahiro 1945- Kimura, Tatsuo 1947- Foundations of algebraic analysis Princeton mathematical series Distribution Funktionalanalysis (DE-588)4070505-5 gnd Analysis (DE-588)4001865-9 gnd Differentialgleichung (DE-588)4012249-9 gnd Differentialgleichungssystem (DE-588)4121137-6 gnd Algebraische Analysis (DE-588)4141832-3 gnd Mikrolokale Analysis (DE-588)4169832-0 gnd Mikrodifferentialoperator (DE-588)4169811-3 gnd |
subject_GND | (DE-588)4070505-5 (DE-588)4001865-9 (DE-588)4012249-9 (DE-588)4121137-6 (DE-588)4141832-3 (DE-588)4169832-0 (DE-588)4169811-3 |
title | Foundations of algebraic analysis |
title_alt | Daisūkaisekigaku-no-kiso |
title_auth | Foundations of algebraic analysis |
title_exact_search | Foundations of algebraic analysis |
title_full | Foundations of algebraic analysis by Masaki Kashiwara, Takahiro Kawai and Tatsuo Kimura |
title_fullStr | Foundations of algebraic analysis by Masaki Kashiwara, Takahiro Kawai and Tatsuo Kimura |
title_full_unstemmed | Foundations of algebraic analysis by Masaki Kashiwara, Takahiro Kawai and Tatsuo Kimura |
title_short | Foundations of algebraic analysis |
title_sort | foundations of algebraic analysis |
topic | Distribution Funktionalanalysis (DE-588)4070505-5 gnd Analysis (DE-588)4001865-9 gnd Differentialgleichung (DE-588)4012249-9 gnd Differentialgleichungssystem (DE-588)4121137-6 gnd Algebraische Analysis (DE-588)4141832-3 gnd Mikrolokale Analysis (DE-588)4169832-0 gnd Mikrodifferentialoperator (DE-588)4169811-3 gnd |
topic_facet | Distribution Funktionalanalysis Analysis Differentialgleichung Differentialgleichungssystem Algebraische Analysis Mikrolokale Analysis Mikrodifferentialoperator |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000324542&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000019035 |
work_keys_str_mv | AT kashiwaramasaki daisukaisekigakunokiso AT kawaitakahiro daisukaisekigakunokiso AT kimuratatsuo daisukaisekigakunokiso AT kashiwaramasaki foundationsofalgebraicanalysis AT kawaitakahiro foundationsofalgebraicanalysis AT kimuratatsuo foundationsofalgebraicanalysis |