Fourier integrals in classical analysis
by Sogge, Christopher D., (Christopher Donald)
This advanced monograph is concerned with modern treatments of central problems in harmonic analysis.
Read More ↓Title Statements
- Full title :Fourier integrals in classical analysis / Christopher D. Sogge, the Johns Hopkins University.
Summary
This advanced monograph is concerned with modern treatments of central problems in harmonic analysis.
Read More ↓Edition Statements
- Publication Date:2017.
- Edition:Second edition
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:2017.
The Physical Object
- Description:1 online resource (xiv, 334 pages ).
Edition Identifiers
- ISBN:9781108234733, 1108234739
- oclc:on1136234689
- LC Classification:QA404
- Dewey Decimal:515/.723
Table of Contents
Cover; Series page; Title page; Copyright information; Dedication; Table of contents; Preface to the Second Edition; Preface to the First Edition; 0 Background; 0.1 Fourier Transform; 0.2 Basic Real Variable Theory; 0.3 Fractional Integration and Sobolev Embedding Theorems; 0.4 Wave Front Sets and the Cotangent Bundle; 0.5 Oscillatory Integrals; Notes; 1 Stationary Phase; 1.1 Stationary Phase Estimates; The One-Dimensional Case; Stationary Phase in Higher Dimensions; 1.2 Fourier Transform of Surface-carried Measures; Notes; 2 Non-homogeneous Oscillatory Integral Operators
2.1 Non-degenerate Oscillatory Integral Operators2.2 Oscillatory Integral Operators Related to the Restriction Theorem; 2.3 Riesz Means in Rn; 2.4 Nikodym Maximal Functions and Maximal Riesz Means in R2; Notes; 3 Pseudo-differential Operators; 3.1 Some Basics; 3.2 Equivalence of Phase Functions; 3.3 Self-adjoint Elliptic Pseudo-differential Operators on Compact Manifolds; Notes; 4 The Half-wave Operator and Functions of Pseudo-differential Operators; 4.1 The Half-wave Operator; 4.2 The Sharp Weyl Formula; 4.3 Smooth Functions of Pseudo-differential Operators; Notes
5 Lp Estimates of Eigenfunctions5.1 The Discre…
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