Multipliers for (C, alpha)-bounded Fourier expansions in Banach spaces and approximation theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Berlin, [u.a.]
Springer
1973
|
| Series: | Lecture notes in mathematics
329 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | V, 103 Seiten |
| ISBN: | 3540063579 0387063579 |
Staff View
MARC
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| 100 | 1 | |a Trebels, Walter |4 aut | |
| 245 | 1 | 0 | |a Multipliers for (C, alpha)-bounded Fourier expansions in Banach spaces and approximation theory |c Walter Trebels |
| 264 | 1 | |a Berlin, [u.a.] |b Springer |c 1973 | |
| 300 | |a V, 103 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 329 | |
| 502 | |a Zugl.: Aachen, Techn. Hochschule, Habil.-Schr., 1973 | ||
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Record in the Search Index
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| adam_text |
CONTENTS
1. Introduction
1.1 General background 1
1.2 Approximation theory in Banach spaces 3
2. General theory
2.1 Notations and further definitions 9
2.2 Jackson and Bernstein type inequalities 11
2.3 A saturation theorem 12
2.4 A Zamansky type inequality; a comparison theorem 16
3. Multiplier criteria for (C,a) bounded expansions
3.1 Classical multiplier criteria via differences 18
3.2 Estimates by integrals in the integer case 24
3.3 Estimates by integrals in the fractional case 30
3.3.1 Fractional integration and differentiation
on BVa+1, a { P 30
3.3.2 Sufficient multiplier criteria for
fractional a 38
4. Particular summation methods
4.1 A polynomial summation method; a Bernstein type
inequality for polynomials 51
4.2 Abel Cartwright means 54
4.3 Riesz means 57
4.4 Bessel potentials 63
4.5 Cesaro means 65
4.6 de La Vallee Poussin means 67
5. Applications to particular expansions
5.1 One dimensional trigonometric system 74
5.2 Multiple Fourier series 78
5.3 Laguerre and Hermite series 84
5.4 Jacobi series °7
5.5 Surface spherical harmonics 90
A conjecture concerning multiplier and summability
theory 92
References 9
List of Symbols 102 |
| any_adam_object | 1 |
| author | Trebels, Walter |
| author_facet | Trebels, Walter |
| author_role | aut |
| author_sort | Trebels, Walter |
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| building | Verbundindex |
| bvnumber | BV003017087 |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)472169418 (DE-599)BVBBV003017087 |
| discipline | Mathematik |
| format | Thesis Book |
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| id | DE-604.BV003017087 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-01T12:00:33Z |
| institution | BVB |
| isbn | 3540063579 0387063579 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001888834 |
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| physical | V, 103 Seiten |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Trebels, Walter aut Multipliers for (C, alpha)-bounded Fourier expansions in Banach spaces and approximation theory Walter Trebels Berlin, [u.a.] Springer 1973 V, 103 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 329 Zugl.: Aachen, Techn. Hochschule, Habil.-Schr., 1973 Banach-Raum (DE-588)4004402-6 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Fourier-Entwicklung (DE-588)4155102-3 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Fourier-Entwicklung (DE-588)4155102-3 s Approximationstheorie (DE-588)4120913-8 s DE-604 Banach-Raum (DE-588)4004402-6 s Harmonische Analyse (DE-588)4023453-8 s Erscheint auch als Online-Ausgabe 978-3-540-46951-3 Lecture notes in mathematics 329 (DE-604)BV000676446 329 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001888834&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Trebels, Walter Multipliers for (C, alpha)-bounded Fourier expansions in Banach spaces and approximation theory Lecture notes in mathematics Banach-Raum (DE-588)4004402-6 gnd Harmonische Analyse (DE-588)4023453-8 gnd Fourier-Entwicklung (DE-588)4155102-3 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| subject_GND | (DE-588)4004402-6 (DE-588)4023453-8 (DE-588)4155102-3 (DE-588)4120913-8 (DE-588)4113937-9 |
| title | Multipliers for (C, alpha)-bounded Fourier expansions in Banach spaces and approximation theory |
| title_auth | Multipliers for (C, alpha)-bounded Fourier expansions in Banach spaces and approximation theory |
| title_exact_search | Multipliers for (C, alpha)-bounded Fourier expansions in Banach spaces and approximation theory |
| title_full | Multipliers for (C, alpha)-bounded Fourier expansions in Banach spaces and approximation theory Walter Trebels |
| title_fullStr | Multipliers for (C, alpha)-bounded Fourier expansions in Banach spaces and approximation theory Walter Trebels |
| title_full_unstemmed | Multipliers for (C, alpha)-bounded Fourier expansions in Banach spaces and approximation theory Walter Trebels |
| title_short | Multipliers for (C, alpha)-bounded Fourier expansions in Banach spaces and approximation theory |
| title_sort | multipliers for c alpha bounded fourier expansions in banach spaces and approximation theory |
| topic | Banach-Raum (DE-588)4004402-6 gnd Harmonische Analyse (DE-588)4023453-8 gnd Fourier-Entwicklung (DE-588)4155102-3 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| topic_facet | Banach-Raum Harmonische Analyse Fourier-Entwicklung Approximationstheorie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001888834&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT trebelswalter multipliersforcalphaboundedfourierexpansionsinbanachspacesandapproximationtheory |