Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Genre: Mathematics
ISBN: 9783540432708, 9783540432708
Pages: 179
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, Sjoelin, 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 $aecal Lue^1$, filling a well-known gap in the literature.
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Specifications
Book Details
Title
Pointwise Convergence of Fourier Series
Imprint
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Product Form
Paperback
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Source ISBN
9783540432708
Genre
Mathematics
ISBN13
9783540432708
Book Category
Higher Education and Professional Books
BISAC Subject Heading
MAT037000
Book Subcategory
Mathematics and Science Books
ISBN10
9783540432708
Language
English
Dimensions
Height
235 mm
Length
155 mm
Weight
650 gr
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