Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 / / Elias M. Stein.

• Superior document: Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
• VerfasserIn: Stein, Elias M.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2016]; ©1970
• Year of Publication: 2016
• Language: English
• Series: Annals of Mathematics Studies ; 63
• Physical Description: 1 online resource (160 p.)
• Other title: Frontmatter --; Preface --; Contents --; Introduction --; Chapter I: Lie Groups (A Review) --; Chapter II: Littlewood-Paley Theory for a Compact Lie Group --; Chapter III: General Symmetric Diffusion Semi-Groups --; Chapter IV: The General Littlewood-Paley Theory --; Chapter V: Further Illustrations --; References --; Appendix (1985)
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9781400881871; 9783110494914; 9783110442496
• DOI: 10.1515/9781400881871
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Elias M. Stein.

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.