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Modern Fourier Analysis (3rd Edition)

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Publisher:

Springer

Pages: 624
Further Actions:

Recommend to library

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Paperback - 9781493950782

03 August 2016

$89.99

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Hardcover - 9781493912292

25 November 2014

$89.99

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Ebook - 9781493912308

13 November 2014

$69.99

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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...

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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.

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New edition extensively revised and updated, including 1000 different corrections and improvements in the existing text

Includes a new chapter, "Multilinear Harmonic Analysis", including sections on multilinear operators, multilinear interpolation, multilinear multiplier operators, Calder?n-Zygmund operators of several functions and multiple weights and weighted norm inequalities

Provides motivation for the reader with more examples and applications, new and more relevant hints for the existing exercises, and about 20-30 new exercises in the existing chapters

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

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

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