Topics in Harmonic Analysis, Related to the Littlewood-Paley Theory
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.
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LIE GROUPS A REVIEW
LITTLEWOODPALEY THEORY FOR A COMPACT LIE GROUP
GENERAL SYMMETRIC DIFFUSION SEMIGROUPS
THE GENERAL LITTLEWOODPALEY THEORY