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

Format:

Book

Author/Creator:

Stein, Elias M., 1931-2018.

Contributor:

Murphy, Timothy S.

Walter de Gruyter & Co.

Series:

Princeton mathematical series ; 43.

[Princeton mathematical series ; 43]

Language:

English

Subjects (All):

Harmonic analysis.

Physical Description:

1 online resource (xiii, 695 pages) : illustrations.

polychrome

Place of Publication:

Princeton, N.J. : Princeton University Press, 1993.

System Details:

data file

Summary:

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(superscript p) estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.

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.

Notes:

Series statement from jacket.

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

Electronic reproduction. Berlin Available via World Wide Web.

Print version record.

Other Format:

Print version: Stein, Elias M., 1931- Harmonic analysis.

ISBN:

9781400883929

140088392X

Publisher Number:

99989399223

Access Restriction:

Restricted for use by site license.