Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194) / / Isroil A. Ikromov, Detlef Müller.
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...
Saved in:
| Superior document: | Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2016 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©2016 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
194 |
| Online Access: | |
| Physical Description: | 1 online resource (272 p.) :; 7 line illus. |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
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 hlin(Φ) ≥ 2: Preparatory Results
- Chapter 7. How to Go beyond the Case hlin(Φ) ≥ 5
- 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