Elias M. Stein

Harmonic Analysis

Real-Variable Methods, Orthogonality, and Oscillatory Integrals

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: Princeton University Press
• Seitenzahl: 710
• Erscheinungstermin: 1. August 1993
• Englisch
• Abmessung: 240mm x 161mm x 46mm
• Gewicht: 1350g
• ISBN-13: 9780691032160
• ISBN-10: 0691032165
• Artikelnr.: 22241633

Autorenporträt

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

Inhaltsangabe

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