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Pointwise Convergence of Fourier Series (Lecture Notes in Mathematics, 1785, Band 1785) - de Reyna, Juan Arias
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de Reyna, Juan Arias:

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

2008, ISBN: 9783540432708

Springer, Taschenbuch, Auflage: 2002, 204 Seiten, Publiziert: 2008-06-27T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 1, 0.65 kg, Statistik, Naturwissenschaft & Mathematik, Fachbücher,… More...

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Pointwise Convergence of Fourier Series (Lecture Notes in Mathematics, 1785, Band 1785) - de Reyna, Juan Arias
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de Reyna, Juan Arias:

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

2008, ISBN: 9783540432708

Springer, Taschenbuch, Auflage: 2002, 204 Seiten, Publiziert: 2008-06-27T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 1, 0.65 kg, Statistik, Naturwissenschaft & Mathematik, Fachbücher,… More...

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Pointwise Convergence of Fourier Series (Lecture Notes in Mathematics, 1785, Band 1785) - de Reyna, Juan Arias
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de Reyna, Juan Arias:
Pointwise Convergence of Fourier Series (Lecture Notes in Mathematics, 1785, Band 1785) - Paperback

2008

ISBN: 9783540432708

Springer, Taschenbuch, Auflage: 2002, 204 Seiten, Publiziert: 2008-06-27T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 1, 1.43 kg, Statistik, Naturwissenschaft & Mathematik, Fachbücher,… More...

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Pointwise Convergence of Fourier Series (Lecture Notes in Mathematics, 1785, Band 1785) - de Reyna, Juan Arias
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de Reyna, Juan Arias:
Pointwise Convergence of Fourier Series (Lecture Notes in Mathematics, 1785, Band 1785) - Paperback

2008, ISBN: 9783540432708

Springer, Taschenbuch, Auflage: 2002, 204 Seiten, Publiziert: 2008-06-27T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 1, 1.43 kg, Statistik, Naturwissenschaft & Mathematik, Fachbücher,… More...

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Pointwise Convergence of Fourier Series - Juan Arias De Reyna
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Juan Arias De Reyna:
Pointwise Convergence of Fourier Series - Paperback

2002, ISBN: 9783540432708

*Pointwise Convergence of Fourier Series* - Auflage 2002 / Taschenbuch für 37.49 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (kartoniert) Hardcover;Nat… More...

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Details of the book
Pointwise Convergence of Fourier Series
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Title:
ISBN:

9783540432708


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.

Details of the book - Pointwise Convergence of Fourier Series


EAN (ISBN-13): 9783540432708
ISBN (ISBN-10): 3540432701
Paperback
Publishing year: 2007
Publisher: Springer Berlin Heidelberg
200 Pages
Weight: 0,308 kg
Language: eng/Englisch

Book in our database since 2007-03-22T16:42:31+00:00 (London)
Detail page last modified on 2024-01-04T23:21:16+00:00 (London)
ISBN/EAN: 9783540432708

ISBN - alternate spelling:
3-540-43270-1, 978-3-540-43270-8
Alternate spelling and related search-keywords:
Book author: juan arias, carleson
Book title: lecture notes mathematics, convergence, fourier series, pointwise

Information from Publisher

Author: Juan Arias de Reyna
Title: Lecture Notes in Mathematics; Pointwise Convergence of Fourier Series
Publisher: Springer; Springer Berlin
179 Pages
Publishing year: 2002-04-01
Berlin; Heidelberg; DE
Language: English
40,65 € (DE)
41,79 € (AT)
45,00 CHF (CH)
Available
XVIII, 179 p.

BC; Hardcover, Softcover / Mathematik/Analysis; Funktionalanalysis und Abwandlungen; Verstehen; Carleson theorem; Fourier series; calculus; convergence; function; maximal operator; proof; theorem; Fourier Analysis; EA

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.
Includes supplementary material: sn.pub/extras
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