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

Book Description

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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File created: 4/17/2014

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