Download or read book Topics in Harmonic Analysis, Related to the Littlewood-Paley Theory written by Elias M. Stein and published by Princeton University Press. This book was released on 1970-02-21 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.