Lectures on Bochner-Riesz means
This book is concerned with the modern theory of Fourier series. Treating developments since Zygmund's classic study, the authors begin with a thorough discussion of the classical one-dimensional theory from a modern perspective. The text then takes up the developments of the 1970s, beginning w...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1987
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| Schriftenreihe: | London Mathematical Society lecture note series
114 |
| Schlagworte: | |
| Online-Zugang: | DE-12 DE-92 URL des Erstveröffentlichers |
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| 490 | 0 | |a London Mathematical Society lecture note series |v 114 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 520 | |a This book is concerned with the modern theory of Fourier series. Treating developments since Zygmund's classic study, the authors begin with a thorough discussion of the classical one-dimensional theory from a modern perspective. The text then takes up the developments of the 1970s, beginning with Fefferman's famous disc counterexample. The culminating chapter presents Cordoba's geometric theory of Kayeka maximal functions and multipliers. Research workers in the fields of Fourier analysis and harmonic analysis will find this a valuable account of these developments. Second year graduate students, who are familiar with Lebesgue theory and are acquainted with distributions, will be able to use this as a textbook which will bring them up to the exciting open questions in the field | ||
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Datensatz im Suchindex
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| author | Davis, Katherine Michelle 1949- |
| author_facet | Davis, Katherine Michelle 1949- |
| author_role | aut |
| author_sort | Davis, Katherine Michelle 1949- |
| author_variant | k m d km kmd |
| building | Verbundindex |
| bvnumber | BV043941701 |
| classification_rvk | SI 320 SK 450 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781107325654 (OCoLC)907964241 (DE-599)BVBBV043941701 |
| dewey-full | 515.2/432 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.2/432 |
| dewey-search | 515.2/432 |
| dewey-sort | 3515.2 3432 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781107325654 |
| format | Electronic eBook |
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| id | DE-604.BV043941701 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T05:34:00Z |
| institution | BVB |
| isbn | 9781107325654 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350671 |
| oclc_num | 907964241 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (ix, 150 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 1987 |
| publishDateSearch | 1987 |
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| publisher | Cambridge University Press |
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| series2 | London Mathematical Society lecture note series |
| spelling | Davis, Katherine Michelle 1949- Verfasser aut Lectures on Bochner-Riesz means Katherine Michelle Davis, Yang-Chun Chang Cambridge Cambridge University Press 1987 1 online resource (ix, 150 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 114 Title from publisher's bibliographic system (viewed on 05 Oct 2015) This book is concerned with the modern theory of Fourier series. Treating developments since Zygmund's classic study, the authors begin with a thorough discussion of the classical one-dimensional theory from a modern perspective. The text then takes up the developments of the 1970s, beginning with Fefferman's famous disc counterexample. The culminating chapter presents Cordoba's geometric theory of Kayeka maximal functions and multipliers. Research workers in the fields of Fourier analysis and harmonic analysis will find this a valuable account of these developments. Second year graduate students, who are familiar with Lebesgue theory and are acquainted with distributions, will be able to use this as a textbook which will bring them up to the exciting open questions in the field Fourier series Convergence Konvergenz (DE-588)4032326-2 gnd rswk-swf Fourier-Reihe (DE-588)4155109-6 gnd rswk-swf Fourier-Reihe (DE-588)4155109-6 s Konvergenz (DE-588)4032326-2 s 1\p DE-604 Chang, Yang-Chun 1937- Sonstige oth Erscheint auch als Druckausgabe 978-0-521-31277-6 https://doi.org/10.1017/CBO9781107325654 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Davis, Katherine Michelle 1949- Lectures on Bochner-Riesz means Fourier series Convergence Konvergenz (DE-588)4032326-2 gnd Fourier-Reihe (DE-588)4155109-6 gnd |
| subject_GND | (DE-588)4032326-2 (DE-588)4155109-6 |
| title | Lectures on Bochner-Riesz means |
| title_auth | Lectures on Bochner-Riesz means |
| title_exact_search | Lectures on Bochner-Riesz means |
| title_full | Lectures on Bochner-Riesz means Katherine Michelle Davis, Yang-Chun Chang |
| title_fullStr | Lectures on Bochner-Riesz means Katherine Michelle Davis, Yang-Chun Chang |
| title_full_unstemmed | Lectures on Bochner-Riesz means Katherine Michelle Davis, Yang-Chun Chang |
| title_short | Lectures on Bochner-Riesz means |
| title_sort | lectures on bochner riesz means |
| topic | Fourier series Convergence Konvergenz (DE-588)4032326-2 gnd Fourier-Reihe (DE-588)4155109-6 gnd |
| topic_facet | Fourier series Convergence Konvergenz Fourier-Reihe |
| url | https://doi.org/10.1017/CBO9781107325654 |
| work_keys_str_mv | AT daviskatherinemichelle lecturesonbochnerrieszmeans AT changyangchun lecturesonbochnerrieszmeans |