Bochner-Riesz means on euclidean spaces /:
This book mainly deals with the Bochner-Riesz means of multiple Fourier integral and series on Euclidean spaces. It aims to give a systematical introduction to the fundamental theories of the Bochner-Riesz means and important achievements attained in the last 50 years. For the Bochner-Riesz means of...
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| Hauptverfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Hackensack] New Jersey :
World Scientific,
[2013]
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book mainly deals with the Bochner-Riesz means of multiple Fourier integral and series on Euclidean spaces. It aims to give a systematical introduction to the fundamental theories of the Bochner-Riesz means and important achievements attained in the last 50 years. For the Bochner-Riesz means of multiple Fourier integral, it includes the Fefferman theorem which negates the disc multiplier conjecture, the famous Carleson-Sjölin theorem, and Carbery-Rubio de Francia-Vega's work on almost everywhere convergence of the Bochner-Riesz means below the critical index. For the Bochner-Riesz means of multiple Fourier series, it includes the theory and application of a class of function space generated by blocks, which is closely related to almost everywhere convergence of the Bochner-Riesz means. In addition, the book also introduce some research results on approximation of functions by the Bochner-Riesz means. |
| Beschreibung: | 1 online resource (viii, 376 pages) |
| Bibliographie: | Includes bibliographical references (pages 367-374) and index. |
| ISBN: | 9789814458771 9814458775 |
Internformat
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| 245 | 1 | 0 | |a Bochner-Riesz means on euclidean spaces / |c Shanzhen Lu, Dunyan Yan. |
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| 520 | 3 | |a This book mainly deals with the Bochner-Riesz means of multiple Fourier integral and series on Euclidean spaces. It aims to give a systematical introduction to the fundamental theories of the Bochner-Riesz means and important achievements attained in the last 50 years. For the Bochner-Riesz means of multiple Fourier integral, it includes the Fefferman theorem which negates the disc multiplier conjecture, the famous Carleson-Sjölin theorem, and Carbery-Rubio de Francia-Vega's work on almost everywhere convergence of the Bochner-Riesz means below the critical index. For the Bochner-Riesz means of multiple Fourier series, it includes the theory and application of a class of function space generated by blocks, which is closely related to almost everywhere convergence of the Bochner-Riesz means. In addition, the book also introduce some research results on approximation of functions by the Bochner-Riesz means. | |
| 504 | |a Includes bibliographical references (pages 367-374) and index. | ||
| 505 | 0 | |a An introduction to multiple Fourier series -- Bochner-Riesz means of multiple Fourier integral -- Bochner-Riesz means of multiple Fourier series -- The conjugate Fourier integral and series. | |
| 588 | 0 | |a Print version record. | |
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| 650 | 0 | |a Euclidean algorithm. |0 http://id.loc.gov/authorities/subjects/sh95001744 | |
| 650 | 6 | |a Séries de Fourier. | |
| 650 | 6 | |a Algorithme d'Euclide. | |
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| 776 | 0 | 8 | |i Print version: |a Lu, Shanzhen, 1939- |t Bochner-Riesz means on Euclidean spaces. |d Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte Ltd, [2013] |z 9814458767 |w (OCoLC)826997409 |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn861528243 |
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| _version_ | 1813903624957329408 |
| adam_text | |
| any_adam_object | |
| author | Lu, Shanzhen, 1939- Yan, Dunyan |
| author_facet | Lu, Shanzhen, 1939- Yan, Dunyan |
| author_role | aut aut |
| author_sort | Lu, Shanzhen, 1939- |
| author_variant | s l sl d y dy |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA404 |
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| contents | An introduction to multiple Fourier series -- Bochner-Riesz means of multiple Fourier integral -- Bochner-Riesz means of multiple Fourier series -- The conjugate Fourier integral and series. |
| ctrlnum | (OCoLC)861528243 |
| dewey-full | 515.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.2433 |
| dewey-search | 515.2433 |
| dewey-sort | 3515.2433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn861528243 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-25T16:21:39Z |
| institution | BVB |
| isbn | 9789814458771 9814458775 |
| language | English |
| oclc_num | 861528243 |
| open_access_boolean | |
| owner | MAIN |
| owner_facet | MAIN |
| physical | 1 online resource (viii, 376 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | World Scientific, |
| record_format | marc |
| spelling | Lu, Shanzhen, 1939- author. Bochner-Riesz means on euclidean spaces / Shanzhen Lu, Dunyan Yan. [Hackensack] New Jersey : World Scientific, [2013] ©2013 1 online resource (viii, 376 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier This book mainly deals with the Bochner-Riesz means of multiple Fourier integral and series on Euclidean spaces. It aims to give a systematical introduction to the fundamental theories of the Bochner-Riesz means and important achievements attained in the last 50 years. For the Bochner-Riesz means of multiple Fourier integral, it includes the Fefferman theorem which negates the disc multiplier conjecture, the famous Carleson-Sjölin theorem, and Carbery-Rubio de Francia-Vega's work on almost everywhere convergence of the Bochner-Riesz means below the critical index. For the Bochner-Riesz means of multiple Fourier series, it includes the theory and application of a class of function space generated by blocks, which is closely related to almost everywhere convergence of the Bochner-Riesz means. In addition, the book also introduce some research results on approximation of functions by the Bochner-Riesz means. Includes bibliographical references (pages 367-374) and index. An introduction to multiple Fourier series -- Bochner-Riesz means of multiple Fourier integral -- Bochner-Riesz means of multiple Fourier series -- The conjugate Fourier integral and series. Print version record. Fourier series. http://id.loc.gov/authorities/subjects/sh85051090 Euclidean algorithm. http://id.loc.gov/authorities/subjects/sh95001744 Séries de Fourier. Algorithme d'Euclide. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Euclidean algorithm fast Fourier series fast Yan, Dunyan, author. has work: Bochner-Riesz means on Euclidean spaces (Text) https://id.oclc.org/worldcat/entity/E39PCGbTVygFpRCrPtjxW7RGRC https://id.oclc.org/worldcat/ontology/hasWork Print version: Lu, Shanzhen, 1939- Bochner-Riesz means on Euclidean spaces. Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte Ltd, [2013] 9814458767 (OCoLC)826997409 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=637080 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=637080 Volltext |
| spellingShingle | Lu, Shanzhen, 1939- Yan, Dunyan Bochner-Riesz means on euclidean spaces / An introduction to multiple Fourier series -- Bochner-Riesz means of multiple Fourier integral -- Bochner-Riesz means of multiple Fourier series -- The conjugate Fourier integral and series. Fourier series. http://id.loc.gov/authorities/subjects/sh85051090 Euclidean algorithm. http://id.loc.gov/authorities/subjects/sh95001744 Séries de Fourier. Algorithme d'Euclide. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Euclidean algorithm fast Fourier series fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85051090 http://id.loc.gov/authorities/subjects/sh95001744 |
| title | Bochner-Riesz means on euclidean spaces / |
| title_auth | Bochner-Riesz means on euclidean spaces / |
| title_exact_search | Bochner-Riesz means on euclidean spaces / |
| title_full | Bochner-Riesz means on euclidean spaces / Shanzhen Lu, Dunyan Yan. |
| title_fullStr | Bochner-Riesz means on euclidean spaces / Shanzhen Lu, Dunyan Yan. |
| title_full_unstemmed | Bochner-Riesz means on euclidean spaces / Shanzhen Lu, Dunyan Yan. |
| title_short | Bochner-Riesz means on euclidean spaces / |
| title_sort | bochner riesz means on euclidean spaces |
| topic | Fourier series. http://id.loc.gov/authorities/subjects/sh85051090 Euclidean algorithm. http://id.loc.gov/authorities/subjects/sh95001744 Séries de Fourier. Algorithme d'Euclide. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Euclidean algorithm fast Fourier series fast |
| topic_facet | Fourier series. Euclidean algorithm. Séries de Fourier. Algorithme d'Euclide. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Euclidean algorithm Fourier series |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=637080 |
| work_keys_str_mv | AT lushanzhen bochnerrieszmeansoneuclideanspaces AT yandunyan bochnerrieszmeansoneuclideanspaces |