Classical Fourier Analysis

Loukas Grafakos

ISBN 10: 1493911937 / ISBN 13: 9781493911936

Published by Springer New York, Springer US Nov 2014, 2014

About this Item

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 656 pp. Englisch.

Seller Inventory # 9781493911936

Bibliographic Details

• Title: Classical Fourier Analysis
• Publisher: Springer New York, Springer US Nov 2014
• Publication Date: 2014
• Language: English
• ISBN 10: 1493911937
• ISBN 13: 9781493911936
• Binding: Buch
• Edition: 3rd Edition
• Condition: Neu
• Dimensions: 241W x 160H x 41D millimeters 241 millimeters width by 160 millimeters height by 41 millimeters depth
• Weight: 1139 grams

About this title

Synopsis

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.

About the Author

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