Classical Fourier Analysis

Loukas Grafakos

ISBN 10: 1493939165 / ISBN 13: 9781493939169

Editore: Springer US, Springer New York, 2016

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Druck auf Anfrage Neuware - Printed after ordering - The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood-Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory completion of courses in real and complex variables. The coverage of topics and exposition style are designed to leave no gaps in understanding and stimulate further study.This third edition includes new Sections 3.5, 4.4, 4.5 as well as a new chapter on 'Weighted Inequalities,' which has been moved from GTM 250, 2nd Edition. Appendices I and B.9 are also new to this edition. Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints for the existing exercises, new exercises, and improved references.

Codice articolo 9781493939169

Dati bibliografici

• Titolo: Classical Fourier Analysis
• Editore: Springer US, Springer New York
• Data di pubblicazione: 2016
• Lingua: Inglese
• ISBN 10: 1493939165
• ISBN 13: 9781493939169
• Rilegatura: Taschenbuch
• Condizione: Neu

Descrizione articolo

Riassunto

The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood–Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory completion of courses in real and complex variables. The coverage of topics and exposition style are designed to leave no gaps in understanding and stimulate further study.

This third edition includes new Sections 3.5, 4.4, 4.5 as well as a new chapter on “Weighted Inequalities,” which has been moved from GTM 250, 2nd Edition. Appendices I and B.9 are also new to this edition. Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints for the existing exercises, new exercises, and improved references.

Informazioni sull?autore

Loukas Grafakos is a Professor of Mathematics at the University of Missouri at Columbia.