| Description |
1 online resource (viii, 376 pages) |
| Physical Medium |
polychrome |
| Description |
text file |
| 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. |
| Bibliography |
Includes bibliographical references (pages 367-374) and index. |
| 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Fourier series.
|
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Fourier series. |
|
Euclidean algorithm.
|
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Euclidean algorithm. |
| Genre/Form |
Electronic books.
|
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Electronic books.
|
| Added Author |
Yan, Dunyan, author.
|
| Other Form: |
Print version: Lu, Shanzhen, 1939- Bochner-Riesz means on Euclidean spaces. Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte Ltd, [2013] 9814458767 (OCoLC)826997409 |
| ISBN |
9789814458771 (electronic book) |
|
9814458775 (electronic book) |
|
9789814458764 |
|
9814458767 |
|
