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Advances in Analysis: The Legacy of Elias M. Stein

Online ISBN:
9781400848935
Print ISBN:
9780691159416
Publisher:
Princeton University Press
Book

Advances in Analysis: The Legacy of Elias M. Stein

Charles Fefferman,
Charles Fefferman
Princeton University
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Alexandru D. Ionescu,
Alexandru D. Ionescu
Princeton University
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D.H. Phong,
D.H. Phong
Columbia University
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Stephen Wainger
Stephen Wainger
University of Wisconsin
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Published:
5 January 2014
Online ISBN:
9781400848935
Print 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.

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