Fourier Restriction, Decoupling, and Applications (Cambridge Studies in Advanced Mathematics #184)
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- Synopsis
- The last fifteen years have seen a flurry of exciting developments in Fourier restriction theory, leading to significant new applications in diverse fields. This timely text brings the reader from the classical results to state-of-the-art advances in multilinear restriction theory, the Bourgain–Guth induction on scales and the polynomial method. Also discussed in the second part are decoupling for curved manifolds and a wide variety of applications in geometric analysis, PDEs (Strichartz estimates on tori, local smoothing for the wave equation) and number theory (exponential sum estimates and the proof of the Main Conjecture for Vinogradov's Mean Value Theorem). More than 100 exercises in the text help reinforce these important but often difficult ideas, making it suitable for graduate students as well as specialists. Written by an author at the forefront of the modern theory, this book will be of interest to everybody working in harmonic analysis.
- Copyright:
- 2020
Book Details
- Book Quality:
- Publisher Quality
- Book Size:
- 345 Pages
- ISBN-13:
- 9781108603614
- Related ISBNs:
- 9781108499705, 9781108499705
- Publisher:
- Cambridge University Press
- Date of Addition:
- 03/10/21
- Copyrighted By:
- Ciprian Demeter
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.