Pointwise Convergence of Fourier Series (Lecture Notes in Mathematics, 1785)

Arias De Reyna, Juan

ISBN 10: 3540432701 / ISBN 13: 9783540432708

Published by Springer, 2002

About this Item

Signed by Juan Arias de Reyna on the half title page. Text is unmarked; pages are bright. Binding is sturdy. Covers are lightly shelf rubbed.

Seller Inventory # 070726

Bibliographic Details

• Title: Pointwise Convergence of Fourier Series (Lecture Notes in Mathematics, 1785)
• Publisher: Springer
• Publication Date: 2002
• Language: English
• ISBN 10: 3540432701
• ISBN 13: 9783540432708
• Binding: Paperback
• Condition: Very Good
• Signed: Signed by Author(s)
• Seller catalogs:
  • Mathematics

About this title

Synopsis

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. The intention of this monograph is to make Carleson's proof accessible to a wider audience, and to explain its consequences for the pointwise convergence of Fourier series for functions in spaces near $äcal Lü^1$, filling a well-known gap in the literature.