Classical Fourier Analysis, Third  Edition [3rd Ed] (Instructor Solution Manual, Solutions)

Classical Fourier Analysis, Third Edition [3rd Ed] (Instructor Solution Manual, Solutions)

Author
Loukas Grafakos
Publisher
Springer
Language
English
Edition
3, 3rd ed
Year
2014
Page
348
ISBN
9781493911936,1493911937
File Type
pdf
File Size
1.6 MiB

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.

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