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Pointwise Convergence of Fourier Series (Lecture Notes in Mathematics) by Juan Arias de Reyna

Posted on 2012-07-17




Name:Pointwise Convergence of Fourier Series (Lecture Notes in Mathematics) by Juan Arias de Reyna
ASIN/ISBN:3540432701
Publisher: Springer; 1 edition (June 10, 2002)
ISBN: 3540432701
Pages: 193
File Type: PDF
File Size: 1.13 MB
   Pointwise Convergence of Fourier Series (Lecture Notes in Mathematics) by Juan Arias de Reyna

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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, Sjolin, 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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