MTU Cork Library Catalogue

Syndetics cover image
Image from Syndetics

Harmonic analysis : real-variable methods, orthogonality, and oscillatory integrals / Elias M. Stein, with the assistance of Timothy S. Murphy.

By: Stein, Elias M, 1931-.
Contributor(s): Murphy, Timothy S.
Material type: materialTypeLabelBookSeries: [Princeton mathematical series ; 43].Publisher: Princeton, N.J. : Princeton University Press, 1993Description: xiii,695p. : ill. ; 25cm + hbk.ISBN: 0691032165 .Subject(s): Harmonic analysisDDC classification: 515.785
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: 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.
Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
General Lending MTU Bishopstown Library Lending 515.785 (Browse shelf(Opens below)) 1 Available 00069087
Total holds: 0

Enhanced descriptions from Syndetics:

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.

Bibliography: (pages 645-678) and indexes.

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: 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.

Table of contents provided by Syndetics

  • Preface
  • Guide to the Reader
  • Prologue (p. 3)
  • I Real-Variable Theory (p. 7)
  • II More About Maximal Functions (p. 49)
  • III Hardy Spaces (p. 87)
  • IV H[superscript 1] and BMO (p. 139)
  • V Weighted Inequalities (p. 193)
  • VI Pseudo-Differential and Singular Integral Operators: Fourier Transform (p. 228)
  • VII Pseudo-Differential and Singular Integral Operators: Almost Orthogonality (p. 269)
  • VIII Oscillatory Integrals of the First Kind (p. 329)
  • IX Oscillatory Integrals of the Second Kind (p. 375)
  • X Maximal Operators: Some Examples (p. 433)
  • XI Maximal Averages and Oscillatory Integrals (p. 467)
  • XII Introduction to the Heisenberg Group (p. 527)
  • XIII More About the Heisenberg Group (p. 587)
  • Bibliography (p. 645)
  • Author Index (p. 679)
  • Subject Index (p. 685)

Author notes provided by Syndetics

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

Powered by Koha