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Fourier Restriction, Decoupling, and Applications

Fourier Restriction, Decoupling, and Applications

by Demeter, Ciprian
No customer reviews yet ISBN 9781108499705 Cambridge University Press

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.

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BrandCambridge University Press
Pub dateJan 2, 2020
ISBN-101108499708
ISBN-139781108499705
LanguageEnglish
Dimensions9.2 × 0.9 × 6.2 in
Weight1 lb
Last updated 2026-04-25 11:03
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