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

書誌事項

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

by Elias M. Stein

(Annals of mathematics studies, no. 63)(Tokyo University international edition, no. 49)

Princeton University Press , University of Tokyo Press, 1970

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注記

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

Bibliography: p. 143-146

内容説明・目次

内容説明

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.

目次

*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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