Classical Fourier transforms:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
1989
|
| Series: | Universitext
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 169 - 172 |
| Physical Description: | 172 S. |
| ISBN: | 3540502483 0387502483 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
Chapter I. Fourier transforms on L.. ( * ,« )
§ 1. Basic properties and examples 1
§2. The Li algebra 16
§3. Differentiability properties 18
§4. Localization, Mellin transforms 25
§5. Fourier series and Poisson s summation formula 32
§6 . The uniqueness theorem 36
§7. Pointwise summability 38
§8. The inversion formula 44
§9. Summability in the L | norm 51
§10. The central limit theorem 56
§11. Analytic functions of Fourier transforms 60
§12. The closure of translations 68
§13. A general tauberian theorem 73
§14. Two differential equations 77
§15. Several variables 83
Chapter II. Fourier transforms on l^l 00,00)
§ 1 . Introduction 91
§2. Plancherel s theorem 92
§3. Convergence and summabili ty 100
§4 . The closure of translations 103
§5. Heisenberg s inequality 105
§6 . Hardy s theorem 112
§7. The theorem of Paley and Wiener 116
§8. Fourier series in L2(a,b) 122
§9. Hardy s interpolation formula 128
§10. Two inequalities of S. Bernstein 131
§11. Several variables 134
Chapter III. Fourier Stieltjes transforms (one variable)
§ 1. Basic properties 137
§2. Distribution functions, and characteristic functions 140
§3. Positive definite functions 144
§4. A uniqueness theorem 154
Notes 160
References 169
|
| any_adam_object | 1 |
| author | Chandrasekharan, Komaravolu 1920-2017 |
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| author_facet | Chandrasekharan, Komaravolu 1920-2017 |
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| ctrlnum | (OCoLC)18780780 (DE-599)BVBBV001814083 |
| dewey-full | 515.7/23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7/23 |
| dewey-search | 515.7/23 |
| dewey-sort | 3515.7 223 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV001814083 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:36:17Z |
| institution | BVB |
| isbn | 3540502483 0387502483 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001214905 |
| oclc_num | 18780780 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-92 DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-11 DE-188 |
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| physical | 172 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Springer |
| record_format | marc |
| series2 | Universitext |
| spelling | Chandrasekharan, Komaravolu 1920-2017 Verfasser (DE-588)174090196 aut Classical Fourier transforms Berlin u.a. Springer 1989 172 S. txt rdacontent n rdamedia nc rdacarrier Universitext Literaturverz. S. 169 - 172 Fourier, Transformations de Fourier, Transformations de ram Fourier transformations Fourier-Transformation (DE-588)4018014-1 gnd rswk-swf Fourier-Transformation (DE-588)4018014-1 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001214905&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chandrasekharan, Komaravolu 1920-2017 Classical Fourier transforms Fourier, Transformations de Fourier, Transformations de ram Fourier transformations Fourier-Transformation (DE-588)4018014-1 gnd |
| subject_GND | (DE-588)4018014-1 |
| title | Classical Fourier transforms |
| title_auth | Classical Fourier transforms |
| title_exact_search | Classical Fourier transforms |
| title_full | Classical Fourier transforms |
| title_fullStr | Classical Fourier transforms |
| title_full_unstemmed | Classical Fourier transforms |
| title_short | Classical Fourier transforms |
| title_sort | classical fourier transforms |
| topic | Fourier, Transformations de Fourier, Transformations de ram Fourier transformations Fourier-Transformation (DE-588)4018014-1 gnd |
| topic_facet | Fourier, Transformations de Fourier transformations Fourier-Transformation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001214905&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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