Modern Fourier Analysis

Author:   Loukas Grafakos
Publisher:   Springer-Verlag New York Inc.
Edition:   3rd ed. 2014
Volume:   250
ISBN:  

9781493912292


Pages:   624
Publication Date:   14 November 2014
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Modern Fourier Analysis


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Overview

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.

Full Product Details

Author:   Loukas Grafakos
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   3rd ed. 2014
Volume:   250
Dimensions:   Width: 15.50cm , Height: 3.50cm , Length: 23.50cm
Weight:   1.118kg
ISBN:  

9781493912292


ISBN 10:   1493912291
Pages:   624
Publication Date:   14 November 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface.- Smoothness and Function Spaces.- BMO and Carleson Measures.- Singular Integrals of Nonconvolution Type.- Weighted Inequalities.- Boundedness and Convergence of Fourier Integrals.- Time-Frequency Analysis and the Carleson-Hunt Theorem.- Multilinear Harmonic Analysis.- Glossary.- References.- Index.

Reviews

The most up-to-date account of the most important developments in the area. ... It has to be pointed out that the hard ones usually come with a good hint, which makes the book suitable for self-study, especially for more motivated students. That being said, the book provides a good reference point for seasoned researchers as well. (Atanas G. Stefanov, Mathematical Reviews, August, 2015)


Author Information

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

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