Download PDF Modern Fourier Analysis (Graduate Texts in Mathematics)
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Modern Fourier Analysis (Graduate Texts in Mathematics)
Download PDF Modern Fourier Analysis (Graduate Texts in Mathematics)
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Review
“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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From the Back Cover
This text is addressed to graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis. The text covers modern topics and techniques in function spaces, atomic decompositions, singular integrals of nonconvolution type, and the boundedness and convergence of Fourier series and integrals. The exposition and style are designed to stimulate further study and promote research. Historical information and references are included at the end of each chapter.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.Reviews from the Second Edition:“The books cover a large amount of mathematics. They are certainly a valuable and useful addition to the existing literature and can serve as textbooks or as reference books. Students will especially appreciate the extensive collection of exercises.â€â€•Andreas Seeger, Mathematical Reviews “The exercises at the end of each section supplement the material of the section nicely and provide a good chance to develop additional intuition and deeper comprehension. 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.â€â€•Leonid Golinskii, zbMATH
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Product details
Series: Graduate Texts in Mathematics (Book 250)
Hardcover: 624 pages
Publisher: Springer; 3rd ed. 2014 edition (November 14, 2014)
Language: English
ISBN-10: 9781493912292
ISBN-13: 978-1493912292
ASIN: 1493912291
Product Dimensions:
6.1 x 1.4 x 9.2 inches
Shipping Weight: 2.4 pounds (View shipping rates and policies)
Average Customer Review:
5.0 out of 5 stars
5 customer reviews
Amazon Best Sellers Rank:
#1,059,622 in Books (See Top 100 in Books)
Very useful book in very good conditions
As described.
this is the volume 2 of Grafakos' books. it contains much more advanced topics than volume 1. I like the way Grafakos arranges different topics, and the exercises are especially good for study.
The book was in perfect conditions
There are a lot of good books on Fourier Analysis. If you're just starting, I think Elias Stein's Fourier Analysis textbook is a good start. There are very few texts that prove L. Carleson's theorem or (better) Hunt's extension to it. The theorem is just too hard for most contexts. But, if you don't know that basic result, I think you're missing a lot. So, this is a more complete book and should be considered valuable, although not, I think, a first textbook. Folland's book is good, too, although I don't like the fact that he quotes basic theorems without proof so that he can get on to more advanced topics. It's a trade off. Somebody had to do it. Folland did it. I don't really see how a person could avoid buying and reading this book, although the temptation is certainly there. Fourier things are deep, but they are also detailed and can be boring.
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