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Princeton Mathematical Series
Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43)
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- 712 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Princeton Mathematical Series
Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43)
Book details
Table of contents
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About This Book
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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Table of contents
- Cover
- Title
- Copyright
- Dedication
- Contents
- PREFACE
- GUIDE TO THE READER
- PROLOGUE
- I. REAL-VARIABLE THEORY
- II. MORE ABOUT MAXIMAL FUNCTIONS
- III. HARDY SPACES
- IV. H^1 AND BMO
- V. WEIGHTED INEQUALITIES
- VI. PSEUDO-DIFFERENTIAL AND SINGULAR INTEGRAL OPERATORS: FOURIER TRANSFORM
- VII. PSEUDO-DIFFERENTIAL AND SINGULAR INTEGRAL OPERATORS: ALMOST ORTHOGONALITY
- VIII. OSCILLATORY INTEGRALS OF THE FIRST KIND
- IX. OSCILLATORY INTEGRALS OF THE SECOND KIND
- X. MAXIMAL OPERATORS: SOME EXAMPLES
- XI. MAXIMAL AVERAGES AND OSCILLATORY INTEGRALS
- XII. INTRODUCTION TO THE HEISENBERG GROUP
- XIII. MORE ABOUT THE HEISENBERG GROUP
- BIBLIOGRAPHY
- AUTHOR INDEX
- SUBJECT INDEX