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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Bibliographic Details
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