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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Lu, Shanzhen, 1939- (Autor), Yan, Dunyan (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: [Hackensack] New Jersey : World Scientific, [2013]
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Lu, Shanzhen,  |d 1939-  |e author. 
245 1 0 |a Bochner-Riesz means on euclidean spaces /  |c Shanzhen Lu, Dunyan Yan. 
264 1 |a [Hackensack] New Jersey :  |b World Scientific,  |c [2013] 
264 4 |c ©2013 
300 |a 1 online resource (viii, 376 pages) 
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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 Fourier series. 
650 0 |a Euclidean algorithm. 
650 6 |a Séries de Fourier. 
650 6 |a Algorithme d'Euclide. 
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650 7 |a Euclidean algorithm  |2 fast 
650 7 |a Fourier series  |2 fast 
700 1 |a Yan, Dunyan,  |e author. 
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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