Advances In Analysis : The Legacy Of Elias M. Stein

Advances in Analysis : The Legacy of Elias M. Stein

By CHARLES FEFFERMAN (Editor) , ALEXANDRU D. IONESCU (Editor), D. H. PHONG (Editor), STEPHEN WAINGER (Editor)

ISBN 9780691159416

Pages 480

Year 2014

Edition 0

Publisher PRINCETON UNIVERSITY PRESS

Subject MATHEMATICS & STATISTICS

~~Rs 8756.00~~ Rs 7004.80

Description

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 D. 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 S. Raich, Fulvio Ricci, Keith M. Rogers, Andreas Seeger, Scott Sheffield, Luis Silvestre, Christopher D. Sogge, Jacob Sturm, Terence Tao, Christoph Thiele, Stephen Wainger, and Steven Zelditch.

About Author(s)

Charles Fefferman is professors of mathematics at Princeton University.Alexandru D. Ionescu is professors of mathematics at Princeton University.D. H. Phong is professor of mathematics at Columbia University.Stephen Wainger is professor emeritus of mathematics at the University of Wisconsin-Madison.

Content

Title

Dedication

Contents

Preface

Chapter 1 Selected Theorems by Eli Stein

Chapter 2 Eli’s Impact: A Case Study

Chapter 3 On Oscillatory Integral Operators in Higher Dimensions

Chapter 4 Hölder Regularity for Generalized Master Equations with Rough Kernels

Chapter 5 Extremizers of a Radon Transform Inequality

Chapter 6 Should We Solve Plateau’s Problem Again?

Chapter 7 Averages along Polynomial Sequences in Discrete Nilpotent Lie Groups: Singular Radon Transforms

Chapter 8 Internal DLA for Cylinders

Chapter 9 The Energy Critical Wave Equation in 3D

Chapter 10 On the Bounded L2 Curvature Conjecture

Chapter 11 On Div-Curl for Higher Order

Chapter 12 Square Functions and Maximal Operators Associated With Radial Fourier Multipliers

Chapter 13 Problems of Harmonic Analysis Related to Finite-Type Hypersurfaces in R3, and Newton polyhedra

Chapter 14 Multi-Linear Multipliers Associated to Simplexes of Arbitrary Length

Chapter 15 Diagonal Estimates for Bergman Kernels in Monomial-Type Domains

Chapter 16 On the Singularities of the Pluricomplex Green’s Function

Chapter 17 Smoothness of Spectral Multipliers and Convolution Kernels in Nilpotent Gelfand Pairs

Chapter 18 On Eigenfunction Restriction Estimates and L4 Bounds for Compact Surfaces with Nonpositive Curvature

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