Advances in Analysis : : The Legacy of Elias M. Stein (PMS-50) / / Charles Fefferman, Stephen Wainger, D.H. Phong, Alexandru D. Ionescu.

• Superior document: Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package
• VerfasserIn: Fefferman, Charles,; Ionescu, Alexandru D.,; Phong, D.H.,
• MitwirkendeR: Bourgain, Jean,; Caffarelli, Luis,; Christ, Michael,; David, Guy,; Fefferman, Charles,; Ionescu, Alexandru D.,; Jerison, David,; Kenig, Carlos,; Klainerman, Sergiu,; Lanzani, Loredana,; Lee, Sanghyuk,; Levine, Lionel,; Magyar, Akos,; Muscalu, Camil,; Müller, Detlef,; Nagel, Alexander,; Phong, D. H.,; Pramanik, Malabika,; Raich, Andrew S.,; Ricci, Fulvio,; Rogers, Keith M.,; Seeger, Andreas,; Sheffield, Scott,; Silvestre, Luis,; Sogge, Christopher D.,; Sturm, Jacob,; Tao, Terence,; Thiele, Christoph,; Wainger, Stephen,; Zelditch, Steve,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2014]; ©2014
• Year of Publication: 2014
• Edition: Course Book
• Language: English
• Series: Princeton Mathematical Series
• Physical Description: 1 online resource (480 p.) :; 6 halftones. 32 line illus.
• Other title: Frontmatter --; Contents --; Preface --; Chapter One. Selected Theorems by Eli Stein --; Chapter Two. Eli's Impact: A Case Study --; Chapter Three On Oscillatory Integral Operators in Higher Dimensions --; Chapter Four. Hölder Regularity for Generalized Master Equations with Rough Kernels --; Chapter Five. Extremizers of a Radon Transform Inequality --; Chapter Six. Should We Solve Plateau's Problem Again? --; Chapter Seven. Averages along Polynomial Sequences in Discrete Nilpotent Lie Groups: Singular Radon Transforms --; Chapter Eight. Internal DLA for Cylinders --; Chapter Nine. The Energy Critical Wave Equation in 3D --; Chapter Ten. On the Bounded L2 Curvature Conjecture --; Chapter Eleven. On Div-Curl for Higher Order --; Chapter Twelve. Square Functions and Maximal Operators Associated with Radial Fourier Multipliers --; Chapter Thirteen. Problems of Harmonic Analysis Related to Finite-Type Hypersurfaces in R3, and Newton Polyhedra --; Chapter Fourteen. Multi-Linear Multipliers Associated to Simplexes of Arbitrary Length --; Chapter Fifteen. Diagonal Estimates for Bergman Kernels in Monomial-Type Domains --; Chapter Sixteen. On the Singularities of the Pluricomplex Green's Function --; Chapter Seventeen. Smoothness of Spectral Multipliers and Convolution Kernels in Nilpotent Gelfand Pairs --; Chapter Eighteen. On Eigenfunction Restriction Estimates and L4-Bounds for Compact Surfaces with Nonpositive Curvature --; List of Contributors --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9781400848935; 9783110501063; 9783110665925
• DOI: 10.1515/9781400848935?locatt=mode:legacy
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Charles Fefferman, Stephen Wainger, D.H. Phong, Alexandru D. Ionescu.

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.