Topics in Harmonic Analysis Related to the Littlewood-Paley Theory

by Elias M. Stein

Overview

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.

Product Details

ISBN-13:	9780691080673
Publisher:	Princeton University Press
Publication date:	02/21/1970
Series:	Annals of Mathematics Studies , #63
Pages:	160
Product dimensions:	6.00(w) x 9.00(h) x (d)

Table of Contents

• 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