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Classical Fourier Analysis By Loukas Grafakos

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Description of a Book

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 Author

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

Book Details

Classical Fourier Analysis written by Loukas Grafakos detailed in the below table…

Name of the Book Classical Fourier Analysis
Name of the Author(s) Loukas Grafakos
Department Mathematics
Publication Springer
Language English
Book Format PDF

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