Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra /

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This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces. The range of Lebesgue spaces for which these estimates are valid is described in t...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Ikromov, Isroil A., 1961- (Author), Müller, Detlef, 1954- (Author)
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton University Press, [2016]
Series:Annals of mathematics studies ; no. 194.
Subjects:
Hypersurfaces.
Polyhedra.
Surfaces, Algebraic.
Fourier analysis.
Fourier Analysis
Polyèdres.
Surfaces algébriques.
Analyse de Fourier.
polyhedra.
MATHEMATICS > Geometry > General.
Fourier analysis
Hypersurfaces
Polyhedra
Surfaces, Algebraic
Online Access:Texto completo
Table of Contents:
  • Frontmatter
  • Contents
  • Chapter 1. Introduction
  • Chapter 2. Auxiliary Results
  • Chapter 3. Reduction to Restriction Estimates near the Principal Root Jet
  • Chapter 4. Restriction for Surfaces with Linear Height below 2
  • Chapter 5. Improved Estimates by Means of Airy-Type Analysis
  • Chapter 6. The Case When h
  • Chapter 7. How to Go beyond the Case h
  • Chapter 8. The Remaining Cases Where m = 2 and B = 3 or B = 4
  • Chapter 9. Proofs of Propositions 1.7 and 1.17
  • Bibliography
  • Index.

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