Research Catalog

Harmonic analysis : real-variable methods, orthogonality, and oscillatory integrals

Title
Harmonic analysis : real-variable methods, orthogonality, and oscillatory integrals / Elias M. Stein, with the assistance of Timothy S. Murphy.
Author
Stein, Elias M., 1931-2018.
Publication
Princeton, N.J. : Princeton University Press, 1993.

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StatusFormatAccessCall NumberItem Location
TextUse in library QA403.3 .S74 1993Off-site

Details

Additional Authors
Murphy, Timothy S.
Description
xiii, 695 pages : illustrations; 25 cm.
Summary
Publisher description: 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.
Series Statement
[Princeton mathematical series ; 43]
Uniform Title
Princeton mathematical series ; 43.
Subject
  • Harmonic analysis
  • Fourier Analysis
  • Analyse harmonique
Note
  • Series statement from jacket.
Bibliography (note)
  • Includes bibliographical references and index.
Contents
Real-variable theory -- More about maximal functions -- Hardy spaces -- H₁ and BMO -- Weighted inequalities -- Pseudo-differential and singular integral operators: Fourier transform -- Pseudo-differential and singular integral operators: Almost orthogonality -- Oscillatory integrals of the first kind -- Oscillatory integrals of the second kind -- Maximal operators: Some examples -- Maximal averages and oscillatory integrals -- Introduction to the Heisenberg group -- More about the Heisenberg group.
ISBN
  • 0691032165
  • 9780691032160
LCCN
92044035
OCLC
  • ocm27108521
  • 27108521
  • SCSB-1988965
Owning Institutions
Princeton University Library