Nonstandard methods in commutative harmonic analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Russian |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1997
|
| Schriftenreihe: | Translations of mathematical monographs
164 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 166 S. |
| ISBN: | 0821804197 |
Internformat
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| 240 | 1 | 0 | |a Nestandartnye metody v nekommutativnomu garmoniceskom analize |
| 245 | 1 | 0 | |a Nonstandard methods in commutative harmonic analysis |c E. I. Gordon |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1997 | |
| 300 | |a XIV, 166 S. | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Notation x
Preface xi
Introduction 1
Chapter 0. Basic concepts of nonstandard analysis 17
§1. The language £3? of real analysis 17
§2. Interpretations of the language £K 26
§3. Elementary extensions of the model K 33
§4. Saturation and idealization 44
§5. Construction of nonstandard models 63
§6. The axiomatics of nonstandard set theory 70
Chapter 1. Nonstandard analysis of operators acting in spaces of mea¬
surable functions 83
§1. Relatively standard elements in internal set theory 83
§2. Countably finite Loeb spaces 94
§3. Hyperfinite approximations of integral operators 105
Chapter 2. Nonstandard analysis on locally compact Abelian groups 115
§1. Hyperfinite approximation of the Fourier transformation in L2W 115
§2. Construction of LCA groups from hyperfinite Abelian groups 125
§3. The case of compact groups 135
§4. Hyperfinite approximations of LCA groups 142
§5. Examples of hyperfinite approximations 149
Bibliography 163
ix
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| id | DE-604.BV013266595 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:42:47Z |
| institution | BVB |
| isbn | 0821804197 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009044383 |
| oclc_num | 36417871 |
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| owner | DE-355 DE-BY-UBR DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-11 |
| physical | XIV, 166 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Gordon, Evgenij I. Verfasser aut Nestandartnye metody v nekommutativnomu garmoniceskom analize Nonstandard methods in commutative harmonic analysis E. I. Gordon Providence, RI American Math. Soc. 1997 XIV, 166 S. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 164 Analyse harmonique ram Analyse mathématique non standard ram Harmonic analysis Nonstandard mathematical analysis Nonstandard-Analysis (DE-588)4137021-1 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 s Nonstandard-Analysis (DE-588)4137021-1 s DE-604 Translations of mathematical monographs 164 (DE-604)BV000002394 164 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009044383&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gordon, Evgenij I. Nonstandard methods in commutative harmonic analysis Translations of mathematical monographs Analyse harmonique ram Analyse mathématique non standard ram Harmonic analysis Nonstandard mathematical analysis Nonstandard-Analysis (DE-588)4137021-1 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| subject_GND | (DE-588)4137021-1 (DE-588)4023453-8 |
| title | Nonstandard methods in commutative harmonic analysis |
| title_alt | Nestandartnye metody v nekommutativnomu garmoniceskom analize |
| title_auth | Nonstandard methods in commutative harmonic analysis |
| title_exact_search | Nonstandard methods in commutative harmonic analysis |
| title_full | Nonstandard methods in commutative harmonic analysis E. I. Gordon |
| title_fullStr | Nonstandard methods in commutative harmonic analysis E. I. Gordon |
| title_full_unstemmed | Nonstandard methods in commutative harmonic analysis E. I. Gordon |
| title_short | Nonstandard methods in commutative harmonic analysis |
| title_sort | nonstandard methods in commutative harmonic analysis |
| topic | Analyse harmonique ram Analyse mathématique non standard ram Harmonic analysis Nonstandard mathematical analysis Nonstandard-Analysis (DE-588)4137021-1 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| topic_facet | Analyse harmonique Analyse mathématique non standard Harmonic analysis Nonstandard mathematical analysis Nonstandard-Analysis Harmonische Analyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009044383&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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