Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43)

Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43)

by Elias M. Stein, Timothy S. Murphy
     
 

ISBN-10: 0691032165

ISBN-13: 9780691032160

Pub. Date: 07/12/1993

Publisher: Princeton University Press

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, relations of curvature to maximal inequalities, and connections

Overview

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, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.

Product Details

ISBN-13:
9780691032160
Publisher:
Princeton University Press
Publication date:
07/12/1993
Series:
Princeton Mathematical Series
Edition description:
New Edition
Pages:
716
Product dimensions:
5.40(w) x 9.44(h) x 1.91(d)

Table of Contents

Preface
Guide to the Reader
Prologue3
IReal-Variable Theory7
IIMore About Maximal Functions49
IIIHardy Spaces87
IVH[superscript 1] and BMO139
VWeighted Inequalities193
VIPseudo-Differential and Singular Integral Operators: Fourier Transform228
VIIPseudo-Differential and Singular Integral Operators: Almost Orthogonality269
VIIIOscillatory Integrals of the First Kind329
IXOscillatory Integrals of the Second Kind375
XMaximal Operators: Some Examples433
XIMaximal Averages and Oscillatory Integrals467
XIIIntroduction to the Heisenberg Group527
XIIIMore About the Heisenberg Group587
Bibliography645
Author Index679
Subject Index685

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