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Bochner-Riesz means on euclidean spa...

Lu, Shanzhen, (1939-)

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Bochner-Riesz means on euclidean spaces /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Bochner-Riesz means on euclidean spaces // Shanzhen Lu, Dunyan Yan.
作者:	Lu, Shanzhen,
其他作者:	Yan, Dunyan.
出版者:	New Jersey :World Scientific, : c2013.,
面頁冊數:	viii, 376 p. :ill. ;26 cm.
標題:	Fourier series. -
ISBN:	9789814458764 (hbk.) :

Bochner-Riesz means on euclidean spaces /
Lu, Shanzhen,1939-

Bochner-Riesz means on euclidean spaces /Shanzhen Lu, Dunyan Yan. - New Jersey :World Scientific,c2013. - viii, 376 p. :ill. ;26 cm.

Includes bibliographical references (p. 367-374) and index.

An introduction to multiple fourier series --

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.

ISBN: 9789814458764 (hbk.) :US128.00

LCCN: 2012276145Subjects--Topical Terms:

544165
Fourier series.

LC Class. No.: QA404 / .L82 2013

Dewey Class. No.: 515.2433

Bochner-Riesz means on euclidean spaces /
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003 DLC
005 20140521130451.0
008 140507s2013 njua b 001 0 eng d
010 $a 2012276145
020 $a 9789814458764 (hbk.) : $c US128.00
020 $a 9814458767 (hbk.)
020 $a 9789814458771 (ebk.)
020 $a 9814458775 (ebk.)
035 $a AS-BW-103-04
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050 0 0 $a QA404 $b .L82 2013
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100 1 $a Lu, Shanzhen, $d 1939- $3 620357
245 1 0 $a Bochner-Riesz means on euclidean spaces / $c Shanzhen Lu, Dunyan Yan.
260 # $a New Jersey : $b World Scientific, $c c2013.
300 $a viii, 376 p. : $b ill. ; $c 26 cm.
504 $a Includes bibliographical references (p. 367-374) and index.
505 0 # $t An introduction to multiple fourier series -- $t Bochner-Riesz means of multiple fourier integral -- $t Bochner-Riesz means of multiple fourier series -- $t The conjugate fourier integral and series.
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 --Source other than Library of Congress.
650 # 0 $a Fourier series. $3 544165
650 # 0 $a Euclidean algorithm. $3 1085458
650 # 0 $a Fourier series $x Mathematical models. $3 2047705
650 # 0 $a Euclidean algorithm $x Mathematical models. $3 2047706
700 1 # $a Yan, Dunyan. $3 620356