Modern Fourier Analysis

Loukas Grafakos

ISBN 10: 1493912291 / ISBN 13: 9781493912292

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

About this Item

Neuware -This text is aimed at graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis. The text covers modern topics and techniques in function spaces, atomic decompositions, singular integrals of nonconvolution type and the boundedness and convergence of Fourier series and integrals. The exposition and style are designed to stimulate further study and promote research. Historical information and references are included at the end of each chapter.This third edition includes a new chapter entitled 'Multilinear Harmonic Analysis' which focuses on topics related to multilinear operators and their applications. Sections 1.1 and 1.2 are also new in this edition. Numerous corrections have been made to the text from the previous editions and several improvements have been incorporated, such as the adoption of clear and elegant statements. A few more exercises have been added with relevant hints when necessary.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 640 pp. Englisch.

Seller Inventory # 9781493912292

Bibliographic Details

• Title: Modern Fourier Analysis
• Publisher: Springer New York, Springer US Nov 2014
• Publication Date: 2014
• Language: English
• ISBN 10: 1493912291
• ISBN 13: 9781493912292
• Binding: Buch
• Edition: 3rd Edition
• Condition: Neu

About this title

Synopsis

This text is aimed at graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis. The text covers modern topics and techniques in function spaces, atomic decompositions, singular integrals of nonconvolution type and the boundedness and convergence of Fourier series and integrals. The exposition and style are designed to stimulate further study and promote research. Historical information and references are included at the end of each chapter.

This third edition includes a new chapter entitled "Multilinear Harmonic Analysis" which focuses on topics related to multilinear operators and their applications. Sections 1.1 and 1.2 are also new in this edition. Numerous corrections have been made to the text from the previous editions and several improvements have been incorporated, such as the adoption of clear and elegant statements. A few more exercises have been added with relevant hints when necessary.

About the Author

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