This third edition includes a new chapter entitled "Multilinear Harmonic Analysis" which focuses on topics related to multilinear operators and their applications. Sections 1.1 and 1.2 are also new in this edition. Numerous corrections have been made to the text from the previous editions and several improvements have been incorporated, such as the adoption of clear and elegant statements. A few more exercises have been added with relevant hints when necessary.
- Graduate Texts in Mathematics .250
- Verlag: Springer, Berlin; Springer New York; Springer
- Artikelnr. des Verlages: 80119237
- 3. Aufl.
- Seitenzahl: 640
- Erscheinungstermin: 14. November 2014
- Abmessung: 241mm x 160mm x 40mm
- Gewicht: 1132g
- ISBN-13: 9781493912292
- ISBN-10: 1493912291
- Artikelnr.: 40839673
"Grafakos's book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Moreover, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises." -- Ken Ross, MAA Online
From the reviews of the second edition:
"The author ... has produced a very well-written, polished, and exciting graduate textbook which easily doubles as a reference book in a number of areas belonging to or touching on Fourier analysis. ... Modern Fourier Analysis sports a huge number off well-designed problems and exercises, and every chapter ends with an exceedingly informative set of 'Historical Notes'. ... I think it's nigh-on indispensable for the aspiring Fourier analyst." -- Michael Berg, MAA Online, January, 2009
"The second part of the two volume treatise in harmonic analysis entitled 'Modern Fourier Analysis' is designed to be a continuation of the first volume ... . The historical notes in each chapter are intended to provide an account of past research as well as to suggest directions for further investigation. The volume is mainly addressed to graduate students who wish to study harmonic analysis." -- Leonid Golinskii, Zentralblatt MATH, Vol. 1158, 2009