Advances in analysis : the legacy of Elias M. Stein /

Advances in analysis : the legacy of Elias M. Stein / edited by Charles Fefferman, Alexandru D. Ionescu, D.H. Phong, and Stephen Wainger.

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"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 represe...

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Bibliographic Details
Online Access: Full Text (via ProQuest)
Main Authors: Fefferman, Charles, 1949- (Author, Editor), Ionescu, Alexandru Dan, 1973- (Author, Editor), Phong, Duong H., 1953- (Author, Editor), Wainger, Stephen, 1936- (Author, Editor)
Other Authors: Stein, Elias M., 1931-2018 (honouree.)
Other title:Analysis and applications.
Format: eBook
Language:English
Published: Princeton : Princeton University Press, [2014]
Series:Princeton mathematical series ; 50.
Subjects:
Mathematical analysis > Congresses.
Mathematical analysis.
Conference papers and proceedings.
Table of 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.

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