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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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2013
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| Schlagworte: | |
| Online-Zugang: | FHN01 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: | viii, 376 p. ill |
| ISBN: | 9789814458771 |
Internformat
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| 520 | |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 | ||
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Datensatz im Suchindex
| _version_ | 1804178057167110144 |
|---|---|
| any_adam_object | |
| author | Lu, Shanzhen 1939- |
| author_facet | Lu, Shanzhen 1939- |
| author_role | aut |
| author_sort | Lu, Shanzhen 1939- |
| author_variant | s l sl |
| building | Verbundindex |
| bvnumber | BV044639311 |
| classification_rvk | SK 450 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00003614 (OCoLC)1012685322 (DE-599)BVBBV044639311 |
| 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 | DE-604.BV044639311 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:55Z |
| institution | BVB |
| isbn | 9789814458771 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030037284 |
| oclc_num | 1012685322 |
| open_access_boolean | |
| owner | DE-92 |
| owner_facet | DE-92 |
| physical | viii, 376 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| spelling | Lu, Shanzhen 1939- Verfasser aut Bochner-Riesz means on Euclidean spaces Shanzhen Lu, Dunyan Yan Singapore World Scientific Pub. Co. c2013 viii, 376 p. ill txt rdacontent c rdamedia 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 Fourier series Riesz spaces Fourier-Reihe (DE-588)4155109-6 gnd rswk-swf Konvergenz (DE-588)4032326-2 gnd rswk-swf Fourier-Integral (DE-588)4121290-3 gnd rswk-swf Konvergenz (DE-588)4032326-2 s Fourier-Reihe (DE-588)4155109-6 s Fourier-Integral (DE-588)4121290-3 s 1\p DE-604 Yan, Dunyan Sonstige oth Erscheint auch als Druck-Ausgabe 9789814458764 http://www.worldscientific.com/worldscibooks/10.1142/8745#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lu, Shanzhen 1939- Bochner-Riesz means on Euclidean spaces Fourier series Riesz spaces Fourier-Reihe (DE-588)4155109-6 gnd Konvergenz (DE-588)4032326-2 gnd Fourier-Integral (DE-588)4121290-3 gnd |
| subject_GND | (DE-588)4155109-6 (DE-588)4032326-2 (DE-588)4121290-3 |
| 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 Riesz spaces Fourier-Reihe (DE-588)4155109-6 gnd Konvergenz (DE-588)4032326-2 gnd Fourier-Integral (DE-588)4121290-3 gnd |
| topic_facet | Fourier series Riesz spaces Fourier-Reihe Konvergenz Fourier-Integral |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8745#t=toc |
| work_keys_str_mv | AT lushanzhen bochnerrieszmeansoneuclideanspaces AT yandunyan bochnerrieszmeansoneuclideanspaces |