Littlewood-Paley and Multiplier Theory:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1977
|
| Schriftenreihe: | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics
90 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-3-642-66366-6 |
| Beschreibung: | This book is intended to be a detailed and carefully written account of various versions of the Littlewood-Paley theorem and of some of its applications, together with indications of its general significance in Fourier multiplier theory. We have striven to make the presentation self-contained and unified, and adapted primarily for use by graduate students and established mathematicians who wish to begin studies in these areas: it is certainly not intended for experts in the subject. It has been our experience, and the experience of many of our students and colleagues, that this is an area poorly served by existing books. Their accounts of the subject tend to be either ill-suited to the needs of a beginner, or fragmentary, or, in one or two instances, obscure. We hope that our book will go some way towards filling this gap in the literature. Our presentation of the Littlewood-Paley theorem proceeds along two main lines, the first relating to singular integrals on locally compact groups, and the second to martingales. Both classical and modern versions of the theorem are dealt with, appropriate to the classical n groups IRn, ?L , Tn and to certain classes of disconnected groups. It is for the disconnected groups of Chapters 4 and 5 that we give two separate accounts of the Littlewood-Paley theorem: the first Fourier analytic, and the second probabilistic |
| Umfang: | 1 Online-Ressource (X, 214 p) |
| ISBN: | 9783642663666 9783642663680 |
| ISSN: | 0071-1136 |
| DOI: | 10.1007/978-3-642-66366-6 |
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| 500 | |a This book is intended to be a detailed and carefully written account of various versions of the Littlewood-Paley theorem and of some of its applications, together with indications of its general significance in Fourier multiplier theory. We have striven to make the presentation self-contained and unified, and adapted primarily for use by graduate students and established mathematicians who wish to begin studies in these areas: it is certainly not intended for experts in the subject. It has been our experience, and the experience of many of our students and colleagues, that this is an area poorly served by existing books. Their accounts of the subject tend to be either ill-suited to the needs of a beginner, or fragmentary, or, in one or two instances, obscure. We hope that our book will go some way towards filling this gap in the literature. Our presentation of the Littlewood-Paley theorem proceeds along two main lines, the first relating to singular integrals on locally compact groups, and the second to martingales. Both classical and modern versions of the theorem are dealt with, appropriate to the classical n groups IRn, ?L , Tn and to certain classes of disconnected groups. It is for the disconnected groups of Chapters 4 and 5 that we give two separate accounts of the Littlewood-Paley theorem: the first Fourier analytic, and the second probabilistic | ||
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 2069914 |
|---|---|
| _version_ | 1821931351584014336 |
| any_adam_object | |
| author | Edwards, Robert E. 1926- |
| author_GND | (DE-588)172059607 |
| author_facet | Edwards, Robert E. 1926- |
| author_role | aut |
| author_sort | Edwards, Robert E. 1926- |
| author_variant | r e e re ree |
| building | Verbundindex |
| bvnumber | BV042422905 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863792023 (DE-599)BVBBV042422905 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-66366-6 |
| format | Electronic eBook |
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| id | DE-604.BV042422905 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:47Z |
| institution | BVB |
| isbn | 9783642663666 9783642663680 |
| issn | 0071-1136 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858322 |
| oclc_num | 863792023 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (X, 214 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics |
| spellingShingle | Edwards, Robert E. 1926- Littlewood-Paley and Multiplier Theory Mathematics Mathematics, general Mathematik Multiplikatoralgebra (DE-588)4340435-2 gnd Littlewood-Paley-Theorem (DE-588)4352642-1 gnd Harmonische Analyse (DE-588)4023453-8 gnd Fourier-Multiplikator (DE-588)4155107-2 gnd Topologische Gruppe (DE-588)4135793-0 gnd |
| subject_GND | (DE-588)4340435-2 (DE-588)4352642-1 (DE-588)4023453-8 (DE-588)4155107-2 (DE-588)4135793-0 |
| title | Littlewood-Paley and Multiplier Theory |
| title_auth | Littlewood-Paley and Multiplier Theory |
| title_exact_search | Littlewood-Paley and Multiplier Theory |
| title_full | Littlewood-Paley and Multiplier Theory by R. E. Edwards, G. I. Gaudry |
| title_fullStr | Littlewood-Paley and Multiplier Theory by R. E. Edwards, G. I. Gaudry |
| title_full_unstemmed | Littlewood-Paley and Multiplier Theory by R. E. Edwards, G. I. Gaudry |
| title_short | Littlewood-Paley and Multiplier Theory |
| title_sort | littlewood paley and multiplier theory |
| topic | Mathematics Mathematics, general Mathematik Multiplikatoralgebra (DE-588)4340435-2 gnd Littlewood-Paley-Theorem (DE-588)4352642-1 gnd Harmonische Analyse (DE-588)4023453-8 gnd Fourier-Multiplikator (DE-588)4155107-2 gnd Topologische Gruppe (DE-588)4135793-0 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Multiplikatoralgebra Littlewood-Paley-Theorem Harmonische Analyse Fourier-Multiplikator Topologische Gruppe |
| url | https://doi.org/10.1007/978-3-642-66366-6 |
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