Harmonic Analysis (PMS-43), Volume 43 : : Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43) / / Elias M. Stein.
This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, re...
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Superior document: | Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package |
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1993 |
Year of Publication: | 2016 |
Language: | English |
Series: | Princeton Mathematical Series ;
43 |
Online Access: | |
Physical Description: | 1 online resource (712 p.) :; 18 line illus. |
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Table of Contents:
- Frontmatter
- Contents
- Preface
- Guide to the Reader
- Prologue
- I. Real-Variable Theory
- II. More about Maximal Functions
- III. Hardy Spaces
- IV. H1 and BMO
- V. Weighted Inequalities
- VI. Pseudo-Differential and Singular Integral Operators: Fourier Transform
- VII. Pseudo-Differential and Singular Integral Operators: Almost Orthogonality
- VIII. Oscillatory Integrals of the First Kind
- IX. Oscillatory Integrals of the Second Kind
- X. Maximal Operators: Some Examples
- XI. Maximal Averages and Oscillatory Integrals
- XII. Introduction to the Heisenberg Group
- XIII. More about the Heisenberg Group
- Bibliography
- Author Index
- Subject Index