Topics in harmonic analysis : related to the Littlewood-Paley theory
著者
書誌事項
Topics in harmonic analysis : related to the Littlewood-Paley theory
（Annals of mathematics studies, no. 63）
Princeton University Press , University of Tokyo Press, 1985, c1970
3rd printing, with corrections
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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
Includes bibliographical references
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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