Classical Fourier Analysis - Graduate Texts in Mathematics 249 (Hardback)
  • Classical Fourier Analysis - Graduate Texts in Mathematics 249 (Hardback)

Classical Fourier Analysis - Graduate Texts in Mathematics 249 (Hardback)

Hardback 638 Pages / Published: 19/11/2014
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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.

Publisher: Springer-Verlag New York Inc.
ISBN: 9781493911936
Number of pages: 638
Weight: 1142 g
Dimensions: 235 x 155 x 35 mm
Edition: 3rd ed. 2014


"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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