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Title Advances in analysis : the legacy of Elias M. Stein / edited by Charles Fefferman, Alexandru D. Ionescu, D.H. Phong, and Stephen Wainger
Published Princeton : Princeton University Press, [2014]
©2014

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Description 1 online resource (viii, 461 pages) : illustrations
Series Princeton mathematical series ; 50
Princeton mathematical series ; 50.
Contents Selected theorems by Eli Stein / Charles Fefferman -- Eli's impact: a case study / Charles Fefferman -- On oscillatory integral operators in higher dimensions / Jean Bourgain -- Hölder regularity for generalized master equations with rough kernels / Luis Caffarelli and Luis Silvestre -- Extremizers of a radon transform inequality / Michael Christ -- Should we solve Plateau's problem again? / Guy David -- Averages along polynomial sequences in discrete nilpotent lie groups: singular radon transforms / Alexandru D. Ionescu, Akos Magyar, and Stephen Wainger -- Internal DLA for cylinders / David Jerison, Lionel Levine, and Scott Sheffield -- The energy critical wave equation in 3D / Carlos Kenig -- On the bounded L² curvature conjecture / Sergiu Klainerman -- On div-curl for higher order / Loredana Lanzani and Andrew S. Raich -- Square functions and maximal operators associated with radial fourier multipliers / Sanghyuk Lee, Keith M. Rogers, and Andreas Seeger -- Problems of harmonic analysis related to finite-type hypersurfaces in R³, and Newton polyhedra / Detlef Müller -- Multi-linear multipliers associated to simplexes of arbitrary length / Camil Muscalu, Terence Tao, and Christoph Thiele -- Diagonal estimates for Bergman kernels in monomial-type domains / Alexander Nagel and Malabika Pramanik -- On the singularities of the pluricomplex green's function / D.H. Phong and Jacob Sturm -- Smoothness of spectral multipliers and convolution kernels in nilpotent gelfand pairs / Fulvio Ricci -- On eigenfunction restriction estimates and L⁴-bounds for compact surfaces with nonpositive curvature / Christopher D. Sogge and Steve Zelditch
Summary "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 volume 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. The contributors are Jean Bourgain, Luis Caffarelli, Michael Christ, Guy David, Charles Fefferman, Alexandru Ionescu, David Jerison, Carlos Kenig, Sergiu Klainerman, Loredana Lanzani, Sanghyuk Lee, Lionel Levine, Akos Magyar, Detlef Müller, Camil Muscalu, Alexander Nagel, D.H. Phong, Malabika Pramanik, Andrew Raich, Fulvio Ricci, Keith Rogers, Andreas Seeger, Scott Sheffield, Luis Silvestre, Christopher Sogge, Jacob Sturm, Terence Tao, Christoph Thiele, Stephen Wainger, and Steven Zelditch"-- Provided by publisher
Bibliography Includes bibliographical references and index
Notes Print version record
SUBJECT Stein, Elias M. / 1931- blmlsh
Subject Mathematical analysis -- Congresses
MATHEMATICS -- Mathematical Analysis.
MATHEMATICS -- Functional Analysis.
MATHEMATICS -- Transformations.
MATHEMATICS -- Calculus.
Mathematical analysis
Genre/Form Festschriften
Conference papers and proceedings
Festschriften.
Form Electronic book
Author Stein, Elias M., 1931-2018, honouree
Fefferman, Charles, 1949- editor, author.
Ionescu, Alexandru Dan, 1973- editor, author.
Phong, Duong H., 1953- editor, author.
Wainger, Stephen, 1936- editor, author.
ISBN 9781400848935
1400848938
9781306160216
1306160219
Other Titles Analysis and applications
Analysis and applications
Analysis and applications
Analysis and applications