| Description |
1 online resource (viii, 376 pages) |
| 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 |
| 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 |
| Notes |
Print version record |
| Subject |
Fourier series.
|
|
Euclidean algorithm.
|
|
MATHEMATICS -- Calculus.
|
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MATHEMATICS -- Mathematical Analysis.
|
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Euclidean algorithm
|
|
Fourier series
|
| Form |
Electronic book
|
| Author |
Yan, Dunyan, author
|
| ISBN |
9789814458771 |
|
9814458775 |
|
