ENGLISH

Pointwise convergence of fourier series

By De Reyna J.A.

Book information

Year
2002
Language
english
Format
DJVU
Filesize
760 kB (777862 bytes)
Pages
154\154
Library
mexmat
Time added
2009-07-20 03:45:11

Description

This book contains a detailed exposition of Carleson-Hunt theorem following the proof of Carleson: to this day this is the only one giving better bounds. It points out the motivation of every step in the proof. Thus the Carleson-Hunt theorem becomes accessible to any analyst.The book also contains the first detailed exposition of the fine results of Hunt, Sjölin, Soria, etc on the convergence of Fourier Series. Its final chapters present original material. With both Fefferman's proof and the recent one of Lacey and Thiele in print, it becomes more important than ever to understand and compare these two related proofs with that of Carleson and Hunt. These alternative proofs do not yield all the results of the Carleson-Hunt proof.

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