Overview
- Only book where the decay rate of the Fourier transform is the dominant theme
- Systematic examination of the concepts
- Focus on interaction between the analytic and geometric approaches of Fourier theory?
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Table of contents (9 chapters)
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Preliminaries
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Analytic (and Geometric) Aspects
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Geometric (and Analytic) Aspects
Reviews
“The overall presentation is clear and the reader is carefully guided through this territory which is marked by a beautiful blend of ideas and techniques from analysis, geometry and also number theory.” (Wien R. Steinbauer, Monatshefte für Mathematik, Vol. 185, 2018)
“It is an introduction to current topics in Fourier analysis, to be read and appreciated by mathematicians … . the book is carefully designed and well written. It does a very good job of familiarizing the reader with the relevant techniques and results, relying on a beautiful interplay of analysis, geometry and number theory.” (Hartmut Führ, Mathematical Reviews, January, 2016)
Authors and Affiliations
Bibliographic Information
Book Title: Decay of the Fourier Transform
Book Subtitle: Analytic and Geometric Aspects
Authors: Alex Iosevich, Elijah Liflyand
DOI: https://doi.org/10.1007/978-3-0348-0625-1
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Basel 2014
Hardcover ISBN: 978-3-0348-0624-4Published: 10 October 2014
eBook ISBN: 978-3-0348-0625-1Published: 01 October 2014
Edition Number: 1
Number of Pages: XII, 222
Number of Illustrations: 3 b/w illustrations, 2 illustrations in colour
Topics: Analysis, Fourier Analysis