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Pointwise convergence of Fourier series

Author: Juan Arias de Reyna
Publisher: Berlin : Springer, 2002.
Series: Lecture notes in mathematics, 1785.
Edition/Format:   Print book : EnglishView all editions and formats
Publication:Pointwise Convergence of Fourier Series.
Summary:

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. With both Fefferman's proof and the recent  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Juan Arias de Reyna
ISBN: 3540432701 9783540432708 0540432709 9780540432707
OCLC Number: 248469331
In: Arias de Reyna, Juan
Description: XVIII, 175 Seiten : Diagramme.
Contents: Part I. Fourier series and Hilbert Transform.- Hardy-Littlewood maximal function.- Fourier Series.- Hilbert Transform.- Part II. The Carleson-Hunt Theorem.- The Basic Step.- Maximal inequalities.- Growth of Partial Sums.- Carleson Analysis of the Function.- Allowed pairs.- Pair Interchange Theorems.- All together.- Part III. Consequences.- Some spaces of functions.- The Maximal Operator of Fourier series.
Series Title: Lecture notes in mathematics, 1785.
Responsibility: Juan Arias de Reyna.

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