Absolute summability of Fourier series and orthogonal series:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin, [u.a.]
Springer
1984
|
| Series: | Lecture notes in mathematics
1067 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 117 Seiten Illustrationen |
| ISBN: | 3540133550 0387133550 |
Staff View
MARC
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| 100 | 1 | |a Okuyama, Yasuo |0 (DE-588)1358713154 |4 aut | |
| 245 | 1 | 0 | |a Absolute summability of Fourier series and orthogonal series |c Yasuo Okuyama |
| 264 | 1 | |a Berlin, [u.a.] |b Springer |c 1984 | |
| 300 | |a VI, 117 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1067 | |
| 650 | 4 | |a Fourier, Séries de | |
| 650 | 4 | |a Sommabilité | |
| 650 | 4 | |a Séries orthogonales | |
| 650 | 4 | |a Fourier series | |
| 650 | 4 | |a Series, Orthogonal | |
| 650 | 4 | |a Summability theory | |
| 650 | 0 | 7 | |a Absolute Summierbarkeit |0 (DE-588)4141117-1 |2 gnd |9 rswk-swf |
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Record in the Search Index
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| adam_text |
Contents
Chapter 1 Absolute Convergence of Orhtogonal Series 1
1.1 Introduction 1
1. 2 Comparison Theorem 3
1.3 Weight Absolute Convergence 5
p
1.4 Convergence of 11 cn| 7
Chapter 2 Absolute NOrlund Summability Almost Everywhere of
Fourier Series 9
2.1 Introduction 9
2.2 Analogous Theorem 10
2. 3 Proof of Theorem 12
2.4 Approximation Property and Absolute Norlund
Summability 18
Chapter 3 Absolute Norlund Summability Almost Everywhere of
Orthogonal Series 24
3.1 Introduction 24
3.2 Absolute NSrlund Summability of Orthogonal
Series 25
3.3 Approximation and Absolute Summability 27
3.4 Structure Theorem for Trigonometric System 30
3.5 Rademacher Trigonometric Series 32
3.6 Impossibility of Improvement of Conditions 34
Chapter 4 Absolute Riesz Summability Almost Everywhere of
Orthogonal Series 37
4.1 Introduction 37
4.2 Equivalence Theorem 38
4.3 Sufficient Conditions 39
4.4 Rademacher Trigonometric Series 42
4.5 Impossibility of Improvement of Conditions 44
Chapter 5 Absolute Norlund Summability Factors of Fourier
Series 47
5.1 Introduction 47
5.2 Summability Factors 48
5. 3 Some Applications 52
5.4 Other Conditions 54
5. 5 Some Corollaries 59
Chapter 6 Absolute NOrlund Summability Factors of Conjugate
Series of Fourier Series 61
6.1 Introduction 61
6.2 Conjugate Theorems 62
6. 3 Some Lemmas 63
6.4 Proofs of Theorems 66
6 . 5 Equivalent Relation 72
VI
6. 6 Some Applications 74
Chapter 7 Local Property of Absolute Riesz Summability of
Fourier Series 77
7 .1 Introduction 77
7.2 Local Property 79
7.3 Some Applications 83
7. 4 Non Local Property 85
7. 5 Proofs of Theorems 86
Chapter 8 Local Property of Absolute Nbrlund Summability of
Fourier Series 91
8.1 Introduction 91
8.2 Local Property 92
8. 3 Proofs of Theorems 95
8. k Izumi Theorems 102
8. 5 Proofs of Izumi Theorems 103
Notes 112
References 113
Subject Index 118 |
| any_adam_object | 1 |
| author | Okuyama, Yasuo |
| author_GND | (DE-588)1358713154 |
| author_facet | Okuyama, Yasuo |
| author_role | aut |
| author_sort | Okuyama, Yasuo |
| author_variant | y o yo |
| building | Verbundindex |
| bvnumber | BV000273494 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
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| callnumber-subject | QA - Mathematics |
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| classification_tum | MAT 422f MAT 428f |
| ctrlnum | (OCoLC)10913393 (DE-599)BVBBV000273494 |
| dewey-full | 515/.2433 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515/.2433 510 |
| dewey-search | 515/.2433 510 |
| dewey-sort | 3515 42433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000273494 |
| illustrated | Illustrated |
| indexdate | 2025-03-12T15:01:13Z |
| institution | BVB |
| isbn | 3540133550 0387133550 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000166097 |
| oclc_num | 10913393 |
| open_access_boolean | |
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| physical | VI, 117 Seiten Illustrationen |
| psigel | TUB-nveb |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Okuyama, Yasuo (DE-588)1358713154 aut Absolute summability of Fourier series and orthogonal series Yasuo Okuyama Berlin, [u.a.] Springer 1984 VI, 117 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1067 Fourier, Séries de Sommabilité Séries orthogonales Fourier series Series, Orthogonal Summability theory Absolute Summierbarkeit (DE-588)4141117-1 gnd rswk-swf Absolute Konvergenz (DE-588)4543570-4 gnd rswk-swf Fourier-Reihe (DE-588)4155109-6 gnd rswk-swf Orthogonalentwicklung (DE-588)4172867-1 gnd rswk-swf Absolute Summierbarkeit (DE-588)4141117-1 s Fourier-Reihe (DE-588)4155109-6 s DE-604 Orthogonalentwicklung (DE-588)4172867-1 s Absolute Konvergenz (DE-588)4543570-4 s Lecture notes in mathematics 1067 (DE-604)BV000676446 1067 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000166097&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Okuyama, Yasuo Absolute summability of Fourier series and orthogonal series Lecture notes in mathematics Fourier, Séries de Sommabilité Séries orthogonales Fourier series Series, Orthogonal Summability theory Absolute Summierbarkeit (DE-588)4141117-1 gnd Absolute Konvergenz (DE-588)4543570-4 gnd Fourier-Reihe (DE-588)4155109-6 gnd Orthogonalentwicklung (DE-588)4172867-1 gnd |
| subject_GND | (DE-588)4141117-1 (DE-588)4543570-4 (DE-588)4155109-6 (DE-588)4172867-1 |
| title | Absolute summability of Fourier series and orthogonal series |
| title_auth | Absolute summability of Fourier series and orthogonal series |
| title_exact_search | Absolute summability of Fourier series and orthogonal series |
| title_full | Absolute summability of Fourier series and orthogonal series Yasuo Okuyama |
| title_fullStr | Absolute summability of Fourier series and orthogonal series Yasuo Okuyama |
| title_full_unstemmed | Absolute summability of Fourier series and orthogonal series Yasuo Okuyama |
| title_short | Absolute summability of Fourier series and orthogonal series |
| title_sort | absolute summability of fourier series and orthogonal series |
| topic | Fourier, Séries de Sommabilité Séries orthogonales Fourier series Series, Orthogonal Summability theory Absolute Summierbarkeit (DE-588)4141117-1 gnd Absolute Konvergenz (DE-588)4543570-4 gnd Fourier-Reihe (DE-588)4155109-6 gnd Orthogonalentwicklung (DE-588)4172867-1 gnd |
| topic_facet | Fourier, Séries de Sommabilité Séries orthogonales Fourier series Series, Orthogonal Summability theory Absolute Summierbarkeit Absolute Konvergenz Fourier-Reihe Orthogonalentwicklung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000166097&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT okuyamayasuo absolutesummabilityoffourierseriesandorthogonalseries |