Fefferman, Charles 1949
Overview
Works:  17 works in 59 publications in 4 languages and 1,689 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Redactor, Contributor 
Classifications:  QA609, 516.37 
Publication Timeline
.
Most widely held works by
Charles Fefferman
The ambient metric
by
Charles Fefferman(
)
15 editions published in 2012 in English and held by 1,064 WorldCat member libraries worldwide
This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics. The existence and uniqueness of the ambient metric at the formal power series level is treated in detail. This includes the derivation of the ambient obstruction tensor and an explicit analysis of the special cases of conformally flat and conformally Einstein spaces. Poincaré metrics are introduced and shown to be equivalent to the ambient formulation. Selfdual Poincaré metrics in four dimensions are considered as a special case, leading to a formal power series proof of LeBrun's collar neighborhood theorem proved originally using twistor methods. Conformal curvature tensors are introduced and their fundamental properties are established. A jet isomorphism theorem is established for conformal geometry, resulting in a representation of the space of jets of conformal structures at a point in terms of conformal curvature tensors. The book concludes with a construction and characterization of scalar conformal invariants in terms of ambient curvature, applying results in parabolic invariant theory
15 editions published in 2012 in English and held by 1,064 WorldCat member libraries worldwide
This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics. The existence and uniqueness of the ambient metric at the formal power series level is treated in detail. This includes the derivation of the ambient obstruction tensor and an explicit analysis of the special cases of conformally flat and conformally Einstein spaces. Poincaré metrics are introduced and shown to be equivalent to the ambient formulation. Selfdual Poincaré metrics in four dimensions are considered as a special case, leading to a formal power series proof of LeBrun's collar neighborhood theorem proved originally using twistor methods. Conformal curvature tensors are introduced and their fundamental properties are established. A jet isomorphism theorem is established for conformal geometry, resulting in a representation of the space of jets of conformal structures at a point in terms of conformal curvature tensors. The book concludes with a construction and characterization of scalar conformal invariants in terms of ambient curvature, applying results in parabolic invariant theory
Essays on Fourier analysis in honor of Elias M. Stein
(
Book
)
14 editions published in 1995 in English and held by 309 WorldCat member libraries worldwide
This book contains the lectures presented at a conference held at Princeton University in May 1991 in honor of Elias M. Stein's sixtieth birthday. The lectures deal with Fourier analysis and its applications. The contributors to the volume are W. Beckner, A. Boggess, J. Bourgain, A. Carbery, M. Christ, R.R. Coifman, S. Dobyinsky, C. Fefferman, R. Fefferman, Y. Han, D. Jerison, P.W. Jones, C. Kenig, Y. Meyer, A. Nagel, D.H. Phong, J. Vance, S. Wainger, D. Watson, G. Weiss, V. Wickerhauser, and T.H. Wolff. The topics of the lectures are: conformally invariant inequalities, oscillatory integrals, analytic hypoellipticity, wavelets, the work of E.M. Stein, elliptic nonsmooth PDE, nodal sets of eigenfunctions, removable sets for Sobolev spaces in the plane, nonlinear dispersive equations, bilinear operators and renormalization, holomorphic functions on wedges, singular Radon and related transforms, Hilbert transforms and maximal functions on curves, Besov and related function spaces on spaces of homogeneous type, and counterexamples with harmonic gradients in Euclidean space
14 editions published in 1995 in English and held by 309 WorldCat member libraries worldwide
This book contains the lectures presented at a conference held at Princeton University in May 1991 in honor of Elias M. Stein's sixtieth birthday. The lectures deal with Fourier analysis and its applications. The contributors to the volume are W. Beckner, A. Boggess, J. Bourgain, A. Carbery, M. Christ, R.R. Coifman, S. Dobyinsky, C. Fefferman, R. Fefferman, Y. Han, D. Jerison, P.W. Jones, C. Kenig, Y. Meyer, A. Nagel, D.H. Phong, J. Vance, S. Wainger, D. Watson, G. Weiss, V. Wickerhauser, and T.H. Wolff. The topics of the lectures are: conformally invariant inequalities, oscillatory integrals, analytic hypoellipticity, wavelets, the work of E.M. Stein, elliptic nonsmooth PDE, nodal sets of eigenfunctions, removable sets for Sobolev spaces in the plane, nonlinear dispersive equations, bilinear operators and renormalization, holomorphic functions on wedges, singular Radon and related transforms, Hilbert transforms and maximal functions on curves, Besov and related function spaces on spaces of homogeneous type, and counterexamples with harmonic gradients in Euclidean space
Advances in analysis : the legacy of Elias M. Stein
by
Charles Fefferman(
Book
)
13 editions published between 2013 and 2014 in English and held by 242 WorldCat member libraries worldwide
"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 KunzeStein 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"
13 editions published between 2013 and 2014 in English and held by 242 WorldCat member libraries worldwide
"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 KunzeStein 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"
The Ambient Metric (AM178)
by
Charles Fefferman(
)
1 edition published in 2011 in English and held by 37 WorldCat member libraries worldwide
This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics. The existence and uniqueness of the ambient metric at the formal power series level is treated in detail. This includes the derivation of the ambient o
1 edition published in 2011 in English and held by 37 WorldCat member libraries worldwide
This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics. The existence and uniqueness of the ambient metric at the formal power series level is treated in detail. This includes the derivation of the ambient o
Essays on Fourier Analysis in Honor of Elias M. Stein (PMS42)
by
Charles Fefferman(
)
1 edition published in 2014 in English and held by 16 WorldCat member libraries worldwide
1 edition published in 2014 in English and held by 16 WorldCat member libraries worldwide
Strogo psevdovypuklye oblasti v Cn̳
by
Michael Beals(
Book
)
4 editions published in 1987 in Russian and held by 6 WorldCat member libraries worldwide
4 editions published in 1987 in Russian and held by 6 WorldCat member libraries worldwide
Essays on Fourier Analysis in Honor of Elias M
by
Charles Fefferman(
)
1 edition published in 2014 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2014 in English and held by 4 WorldCat member libraries worldwide
Essays on fourier analysis in honor of Elias M Stein : Conference in Harmonic analysis : Papers
(
)
1 edition published in 1993 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 3 WorldCat member libraries worldwide
Proceedings of the conference in honor of Elias M. Stein's sixtieth birthday
(
Book
)
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
Sufficient conditions for regularity for the 3D incompressible Euler equations
by
Peter Constantin(
Book
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
[Lectures on mathematical problems on atoms given at Stanford University in the summer of 1994]
by
Charles Fefferman(
Visual
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Lectures on stability of matter including relativistic stability and matter with magnetic fields. Also covers condensation of bulk matter into atoms and molecules
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Lectures on stability of matter including relativistic stability and matter with magnetic fields. Also covers condensation of bulk matter into atoms and molecules
Lettre reçue de Charles L. Fefferman
by
Charles Fefferman(
Book
)
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
Records of the Gibbs Symposium
by Gibbs Symposium(
)
in English and held by 1 WorldCat member library worldwide
The records consist of videotapes of the Gibbs Symposium held at Yale in 1989. The symposium was held in honor of Josiah Willard Gibbs, a leader in theoretical physics
in English and held by 1 WorldCat member library worldwide
The records consist of videotapes of the Gibbs Symposium held at Yale in 1989. The symposium was held in honor of Josiah Willard Gibbs, a leader in theoretical physics
Maximal seminorms on weak L1
by
M Cwikel(
Book
)
1 edition published in 1977 in English and held by 1 WorldCat member library worldwide
1 edition published in 1977 in English and held by 1 WorldCat member library worldwide
Discurso de investidura de doctor "honoris causa"
by
Charles Fefferman(
Book
)
1 edition published in 1990 in Spanish and held by 1 WorldCat member library worldwide
1 edition published in 1990 in Spanish and held by 1 WorldCat member library worldwide
Advances in analysis the legacy of Elias M. Stein
(
)
1 edition published in 2014 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2014 in English and held by 0 WorldCat member libraries worldwide
The canonical seminorm on weak L1
by
M Cwikel(
Book
)
1 edition published in 1981 in Hebrew and held by 0 WorldCat member libraries worldwide
1 edition published in 1981 in Hebrew and held by 0 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Graham, C. Robin 1954
 Wainger, Stephen 1936 Contributor Editor
 Stein, Elias M. 1931 Honoree Dedicatee
 Fefferman, Robert 1951 Editor
 Ionescu, Alexandru Dan 1973 Contributor Editor
 Phong, Duong H. 1953 Editor
 Conference on Harmonic Analysis. <1991, Princeton, NJ>
 Grossman, Robert
 Beals, Michael 1954 Author
 Phong, D.H. Contributor
Useful Links
Associated Subjects
Condensation Conformal geometry Conformal invariants Fourier analysis Functions of complex variables Geometry Gibbs, J. Willard(Josiah Willard), L1 algebras Mathematical analysis Mathematics MatterProperties Maximal functions Metric spaces Pseudoconvex domains Science Thermodynamics Weak interactions (Nuclear physics)