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.
| ISBN: | 9781493911936 |
| Publication date: | 19th November 2014 |
| Author: | Loukas Grafakos |
| Publisher: | Springer an imprint of Springer New York |
| Format: | Hardback |
| Pagination: | 638 pages |
| Series: | Graduate Texts in Mathematics |
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.
Paperback, Hardback. Not Available.
Classical Fourier Analysis was written by Loukas Grafakos and published by Springer an imprint of Springer New York
Classical Fourier Analysis has 638 pages
Yes it is part of Graduate Texts in Mathematics series