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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| Main Authors: | , |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Hackensack] New Jersey :
World Scientific,
[2013]
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| Subjects: | |
| Online Access: | CONNECT |
| 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. |
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| Item Description: | EBSCO eBook Academic Comprehensive Collection North America |
| Physical Description: | 1 online resource (viii, 376 pages) |
| Bibliography: | Includes bibliographical references (pages 367-374) and index. |
| ISBN: | 9789814458771 9814458775 |
