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010 a| 2012276145;

020 a| 9789814458764;

020 a| 9814458767;

035 a| (WaSeSS)ssj0001153693;

042 a| lccopycat;

049 a| EREEa| NEHH;

050 00 a| QA404b| .L82 2013;

082 04 a| 515.24332| 23;

100 1 a| Lu, Shanzhen,d| 1939-=| ^A1259399;

245 10 a| Bochner-Riesz means on Euclidean spacesh| [electronic resource] /c| Shanzhen Lu, Dunyan Yan.;

260 a| [Hackensack,] New Jersey :b| World Scientific,c| [2013];

300 a| viii, 376 pages :b| illustrations ;c| 26 cm;

504 a| Includes bibliographical references (pages 367-374) and index.;

505 0 a| 1. An introduction to multiple Fourier series -- 2. Bochner-Riesz means of multiple Fourier integral -- 3. Bochner-Riesz means of multiple Fourier series -- 4. The conjugate Fourier integral and series.;

506 a| Available only to authorized users.;

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 --c| Source other than Library of Congress.;

538 a| Mode of access: World Wide Web;

650 0 a| Fourier series.=| ^A22417;

650 0 a| Euclidean algorithm.=| ^A1036921;

650 0 a| Fourier seriesx| Mathematical models.=| ^A22417;

650 0 a| Euclidean algorithmx| Mathematical models.=| ^A1036921;

650 7 a| Euclidean algorithm.2| fast;

650 7 a| Fourier series.2| fast;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Yan, Dunyan.=| ^A1255360;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=1389092;

947 a| (OCoLC)ocn826997409;

949 a| CLICK ON WEB ADDRESSw| ASISh| JOYNER188;

949 a| CLICK ON WEB ADDRESSw| ASISh| HSL77;

949 a| CLICK ON WEB ADDRESSw| ASISh| JMUSIC60;

596 a| 1 3 4;

998 a| 3995959;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 3995959-1001l| JNETm| JOYNERr| Ys| Yt| JNESSBKu| 1/1/2016x| EBOOKz| JERESOURCE;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 3995959-2001l| HSLELECm| HSLr| Ys| Yt| HEBKu| 1/1/2016x| EBOOKz| HERESOURCE;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 3995959-3001l| MNETm| JMUSICr| Ys| Yt| MNESSBKu| 1/1/2016x| EBOOKz| JERESOURCE;

Bochner-Riesz means on Euclidean spaces / Shanzhen Lu, Dunyan Yan.

Author/creator	Lu, Shanzhen, 1939-
Other author	Yan, Dunyan.
Format	Electronic
Publication Info	[Hackensack,] New Jersey : World Scientific, [2013]
Description	viii, 376 pages : illustrations ; 26 cm
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Fourier series. Euclidean algorithm. Fourier series--Mathematical models. Euclidean algorithm--Mathematical models.

Contents	1. An introduction to multiple Fourier series -- 2. Bochner-Riesz means of multiple Fourier integral -- 3. Bochner-Riesz means of multiple Fourier series -- 4. The conjugate Fourier integral and series.
Summary	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 -- Source other than Library of Congress.
Bibliography note	Includes bibliographical references (pages 367-374) and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2012276145
ISBN	9789814458764
ISBN	9814458767

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Bochner-Riesz means on Euclidean spaces / Shanzhen Lu, Dunyan Yan.

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