Advances in AnalysisThe Legacy of Elias M. Stein

Advances in AnalysisThe Legacy of Elias M. Stein

Charles Fefferman, Alexandru D. Ionescu, D.H. Phong, and Stephen Wainger

Print publication date: 2017

ISBN: 9780691159416

Publisher: Princeton University Press

Abstract

Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory. His fundamental contributions include the Kunze–Stein phenomenon, the construction of new representations, the Stein interpolation theorem, the idea of a restriction theorem for the Fourier transform, and the theory of Hp Spaces in several variables. Through his great discoveries, through books that have set the highest standard for mathematical exposition, and through his influence on his many collaborators and students, Stein has changed mathematics. Drawing inspiration from Stein's contributions to harmonic analysis and related topics, this book gathers papers from internationally renowned mathematicians, many of whom have been Stein's students. The book also includes expository papers on Stein's work and its influence.

Table of Contents

Chapter Eight Internal DLA for Cylinders

David Jerison, Lionel Levine, and Scott Sheffield

Chapter Eleven On Div-Curl for Higher Order

Loredana Lanzani and Andrew S. Raich