Classical Fourier Analysis by Loukas Grafakos

Classical Fourier Analysis by Loukas Grafakos

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.

“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)

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

SKU	Unavailable
ISBN 13	9781493939169
ISBN 10	1493939165
Title	Classical Fourier Analysis
Author	Loukas Grafakos
Series	Graduate Texts In Mathematics
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer-Verlag New York Inc.
Year published	2016-08-23
Number of pages	638
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable