Fourier Restriction, Decoupling, and Applications

Book Description

The last fifteen years have seen a flurry of exciting developments in Fourier restriction , 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 , 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 , PDEs (Strichartz estimates on tori, local smoothing for the wave equation) and number (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 of the modern , this book will be of interest to everybody working in harmonic analysis.

Book Details

  • Title: Fourier Restriction, Decoupling, and Applications
  • Author:
  • Length: 345 pages
  • Edition: 1
  • Language: English
  • Publisher:
  • Publication Date: 2020-01-30
  • ISBN-10: 1108499708
  • ISBN-13: 9781108499705
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