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发表于 2013-10-5 10:33:20 |只看该作者 |倒序浏览
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题名: Bochner-Riesz Means on Euclidean Spaces
作者: Shanzhen Lu (Author)
出版社: World Scientific Publishing Company
出版日期: November 27, 2013
ISBN: 978-9814458764
附属页: 齐全
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格式: 图版PDF
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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-Sjolin 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.

Readership: Graduate students and researchers in mathematics.

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