Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals
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.

1147760044
Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals
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.

179.0 In Stock
Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals

Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals

by Elias M. Stein
Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals

Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals

by Elias M. Stein

Hardcover(New Edition)

$179.00 
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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: 08/01/1993
Series: Princeton Mathematical Series , #43
Edition description: New Edition
Pages: 712
Product dimensions: 6.00(w) x 9.25(h) x (d)

About the Author

Elias M. Stein is Professor of Mathematics at Princeton University.

Table of Contents

Preface

Guide to the Reader

Prologue 3

I Real-Variable Theory 7

II More About Maximal Functions 49

III Hardy Spaces 87

IV H[superscript 1] and BMO 139

V Weighted Inequalities 193

VI Pseudo-Differential and Singular Integral Operators: Fourier Transform 228

VII Pseudo-Differential and Singular Integral Operators: Almost Orthogonality 269

VIII Oscillatory Integrals of the First Kind 329

IX Oscillatory Integrals of the Second Kind 375

X Maximal Operators: Some Examples 433

XI Maximal Averages and Oscillatory Integrals 467

XII Introduction to the Heisenberg Group 527

XIII More About the Heisenberg Group 587

Bibliography 645

Author Index 679

Subject Index 685


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