Bochner-Riesz means on euclidean spaces / Shanzhen Lu, Dunyan Yan.
Material type:![Text](/opac-tmpl/lib/famfamfam/BK.png)
- text
- computer
- online resource
- 9789814458771
- 9814458775
- 515.2433 23
- QA404 .L8 2013eb
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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.
Includes bibliographical references (pages 367-374) and index.
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.
Print version record.
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