Topics in harmonic analysis : related to the Littlewood-Paley theory

Bibliographic Information

Topics in harmonic analysis : related to the Littlewood-Paley theory

by Elias M. Stein

(Annals of mathematics studies, no. 63)

Princeton University Press , University of Tokyo Press, 1985, c1970

3rd printing, with corrections

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Note

"Contains essentially the material presented in a course given during the spring semester of 1968 at Princeton University."--Pref

Includes bibliographical references

Description and Table of Contents

Description

This work deals with an extension of the classical Littlewood-Paley theory in the context of symmetric diffusion semigroups. In this general setting there are applications to a variety of problems, such as those arising in the study of the expansions coming from second order elliptic operators. A review of background material in Lie groups and martingale theory is included to make the monograph more accessible to the student.

Table of Contents

*Frontmatter, pg. i*Preface, pg. v*Contents, pg. vii*Introduction, pg. 1*Chapter I: Lie Groups (A Review), pg. 5*Chapter II: Littlewood-Paley Theory for a Compact Lie Group, pg. 37*Chapter III: General Symmetric Diffusion Semi-Groups, pg. 65*Chapter IV: The General Littlewood-Paley Theory, pg. 89*Chapter V: Further Illustrations, pg. 123*References, pg. 143*Appendix (1985), pg. 147

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Details
  • NCID
    BA59241839
  • ISBN
    • 0691080674
  • LCCN
    72083688
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Princeton, N.J.,[Tokyo]
  • Pages/Volumes
    viii, 149 p.
  • Size
    23 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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