Haar series and linear operators:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
1997
|
| Schriftenreihe: | Mathematics and its applications
367 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 218 S. |
| ISBN: | 079234006X |
Internformat
MARC
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| 100 | 1 | |a Novikov, Igor' Ja. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Haar series and linear operators |c by Igor Novikov and Evgenij Semenov |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 1997 | |
| 300 | |a XV, 218 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and its applications |v 367 | |
| 650 | 7 | |a Opérateurs linéaires |2 ram | |
| 650 | 4 | |a Haar system (Mathematics) | |
| 650 | 4 | |a Linear operators | |
| 650 | 0 | 7 | |a Linearer Operator |0 (DE-588)4167721-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Haar-Funktionensystem |0 (DE-588)4158638-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Haar-Funktionensystem |0 (DE-588)4158638-4 |D s |
| 689 | 0 | 1 | |a Linearer Operator |0 (DE-588)4167721-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Semenov, Evgenij M. |e Verfasser |4 aut | |
| 830 | 0 | |a Mathematics and its applications |v 367 |w (DE-604)BV008163334 |9 367 | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Table of Contents
Preface vii
Acknowledgements ix
Remarks xi
Chapter 1. Preliminaries 1
l.a. Measure space 1
l.b. Main results on bases in Banach spaces 1
I.e. Rearrangements of Functions 4
l.d. Rearrangement invariant spaces 5
I.e. Interpolation methods 10
Chapter 2. Definition and Main Properties of the Haar System 15
Chapter 3. Convergence of Haar Series 19
Chapter 4. Basis Properties of the Haar System 25
4.a. R.i. spaces 25
4.b. Spaces Lp((O) 28
Chapter 5. The Unconditionality of the Haar System 33
Chapter 6. The Paley Function 41
Chapter 7. Fourier Haar Coefficients 51
7.a. The spaces Lp and r.i. spaces 51
7.b. Absolutely continuous functions 64
7.c. Continuous functions 67
7.d. Characteristic functions 71
Chapter 8. The Haar System and Martingales 73
Chapter 9. Reproducibility of the Haar System 83
vi TABLE OF CONTENTS
Chapter 10. Generalized Haar Systems and Monotone Bases 89
lO.a. D convexity and D concavity of r.i. spaces 89
lO.b. Generalized Haar systems 97
Chapter 11. Haar System Rearrangements 109
Chapter 12. Fourier Haar Multipliers 127
Chapter 13. Pointwise Estimates of Multipliers 133
Chapter 14. Estimates of Multipliers in L, 143
Chapter 15. Subsequences of the Haar System 151
Chapter 16*. Criterion of Equivalence of the Haar and Franklin
Systems in R.I. Spaces 169
16.a. Definition and basic properties of the Franklin System 169
16.b. Martingale transforms of the Haar functions 170
16.c. Norm estimates of auxiliary operators 177
16.d. Equivalence of the Haar and the Franklin systems in
Ly 1 p °° 182
16.e. The Haar and the Franklin systems in r.i. spaces with trivial
Boyd indeces 184
Chapter 17. Olevskii Systems 191
References 195
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.2433 |
| dewey-search | 515/.2433 |
| dewey-sort | 3515 42433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011200459 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:05:40Z |
| institution | BVB |
| isbn | 079234006X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007511774 |
| oclc_num | 34472650 |
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| owner_facet | DE-20 DE-12 DE-703 DE-824 DE-11 |
| physical | XV, 218 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Novikov, Igor' Ja. Verfasser aut Haar series and linear operators by Igor Novikov and Evgenij Semenov Dordrecht [u.a.] Kluwer 1997 XV, 218 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 367 Opérateurs linéaires ram Haar system (Mathematics) Linear operators Linearer Operator (DE-588)4167721-3 gnd rswk-swf Haar-Funktionensystem (DE-588)4158638-4 gnd rswk-swf Haar-Funktionensystem (DE-588)4158638-4 s Linearer Operator (DE-588)4167721-3 s DE-604 Semenov, Evgenij M. Verfasser aut Mathematics and its applications 367 (DE-604)BV008163334 367 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007511774&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Novikov, Igor' Ja Semenov, Evgenij M. Haar series and linear operators Mathematics and its applications Opérateurs linéaires ram Haar system (Mathematics) Linear operators Linearer Operator (DE-588)4167721-3 gnd Haar-Funktionensystem (DE-588)4158638-4 gnd |
| subject_GND | (DE-588)4167721-3 (DE-588)4158638-4 |
| title | Haar series and linear operators |
| title_auth | Haar series and linear operators |
| title_exact_search | Haar series and linear operators |
| title_full | Haar series and linear operators by Igor Novikov and Evgenij Semenov |
| title_fullStr | Haar series and linear operators by Igor Novikov and Evgenij Semenov |
| title_full_unstemmed | Haar series and linear operators by Igor Novikov and Evgenij Semenov |
| title_short | Haar series and linear operators |
| title_sort | haar series and linear operators |
| topic | Opérateurs linéaires ram Haar system (Mathematics) Linear operators Linearer Operator (DE-588)4167721-3 gnd Haar-Funktionensystem (DE-588)4158638-4 gnd |
| topic_facet | Opérateurs linéaires Haar system (Mathematics) Linear operators Linearer Operator Haar-Funktionensystem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007511774&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
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