Advances in analysis :the legacy of Elias M. Stein : proceedings / [edited by] Charles Fefferman...[at el.].

Includes bibliographical references and index.

Preface ix
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 Holder 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?-- Chapter7 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 3, 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

List of Contributors--
Index.

"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"--