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

Harmonic Analysis (PMS-43), Volume 43

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

Hardcover

Published: 1st August 1993
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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.

Elias M. Stein, Winner of the 1998 Wolf Prize for Mathematics, the Wolf Foundation

Preface
Guide to the Reader
Prologuep. 3
Real-Variable Theoryp. 7
More About Maximal Functionsp. 49
Hardy Spacesp. 87
H[superscript 1] and BMOp. 139
Weighted Inequalitiesp. 193
Pseudo-Differential and Singular Integral Operators: Fourier Transformp. 228
Pseudo-Differential and Singular Integral Operators: Almost Orthogonalityp. 269
Oscillatory Integrals of the First Kindp. 329
Oscillatory Integrals of the Second Kindp. 375
Maximal Operators: Some Examplesp. 433
Maximal Averages and Oscillatory Integralsp. 467
Introduction to the Heisenberg Groupp. 527
More About the Heisenberg Groupp. 587
Bibliographyp. 645
Author Indexp. 679
Subject Indexp. 685
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780691032160
ISBN-10: 0691032165
Series: Princeton Mathematical Series
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 712
Published: 1st August 1993
Country of Publication: US
Dimensions (cm): 24.2 x 16.1  x 4.8
Weight (kg): 1.09