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

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

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...

Full description

Saved in:
Bibliographic Details
Main Author: Stein, Elias M., 1931-2018
Other Authors: Murphy, Timothy S.
Format: Book
Language:English
Published: Princeton, N.J. : Princeton University Press, 1993.
Series:Princeton mathematical series ; 43.
Subjects:
Harmonic analysis.
Fourier Analysis
Fourier-transzformáció (matematika)
Hardy-terek > funkcionálanalízis
szinguláris integrálok > Fourier-analízis
harmonikus analízis > matematika
Harmonic analysis
Analyse harmonique.
Table of 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.

Similar Items