Page of

Selected Theorems by Eli Stein

Selected Theorems by Eli Stein

Chapter:
(p.1) Chapter One Selected Theorems by Eli Stein
Source:
Advances in Analysis
Author(s):
Charles Fefferman, Charles Fefferman, Alexandru D. Ionescu, D. H. Phong, Stephen Wainger, Charles Fefferman, Alexandru D. Ionescu, D. H. Phong, Stephen Wainger
Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691159416.003.0001

This chapter is an overview of the scope and originality of Eli Stein's contributions to analysis. His work deals with representation theory, classical Fourier analysis, and partial differential equations. He was the first to appreciate the interplay among these subjects, and to perceive the fundamental insights in each field arising from that interplay. No one else really understands all three fields, hence the need for this chapter. However, deep understanding of three fields of mathematics is by no means sufficient to lead to Stein's main ideas. Rather, at crucial points, Stein has shown extraordinary originality, without which no amount of work or knowledge could have succeeded.

Keywords:   Eli Stein, representation theory, selected theorems, classical Fourier analysis, partial differential equations, mathematics

Sign In

Copyright © 2020. All rights reserved.
Privacy Policy and Legal Notice