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

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

 

Synopses & Reviews

Publisher Comments:

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.

Book News Annotation:

An exposition of some of the main developments of the last 20 years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, Lp estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Synopsis:

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.

Description:

Includes bibliographical references (p. 645-678) and indexes.

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

Product Details

ISBN:
9780691032160
Author:
Stein, Elias M.
Author:
Murphy, Timothy S.
Publisher:
Princeton University Press
Location:
Princeton, N.J. :
Subject:
Calculus
Subject:
Advanced
Subject:
Harmonic analysis
Subject:
Mathematics
Subject:
Functional Analysis
Subject:
Mathematics-Calculus
Copyright:
Series:
Princeton Mathematical Series
Series Volume:
(PMS-43)
Publication Date:
July 1993
Binding:
HARDCOVER
Grade Level:
College/higher education:
Language:
English
Illustrations:
18 line illus.
Pages:
712
Dimensions:
9 x 6 in 39 oz

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Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43) (Princeton Mathematical Series) New Hardcover
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Product details 712 pages Princeton University Press - English 9780691032160 Reviews:
"Synopsis" by , 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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