Charles L. Epstein

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All published works

Action	Title	Year	Authors
+ PDF Chat	A numerical method for scattering problems with unbounded interfaces	2024	Tristan Goodwill Charles L. Epstein
+ PDF Chat	Coordinate complexification for the Helmholtz equation with Dirichlet boundary conditions in a perturbed half-space	2024	Charles L. Epstein Leslie Greengard Jeremy G. Hoskins Shidong Jiang Manas Rachh
+	Solving the Scattering Problem for Open Wave-Guides, III: Radiation Conditions and Uniqueness	2024	Charles L. Epstein Rafe Mazzeo
+	Envelopes of Horospheres and Weingarten Surfaces in Hyperbolic 3-Space	2024	Charles L. Epstein
+	Solving the Transmission Problem for Open Wave-Guides, I Fundamental Solutions and Integral Equations	2023	Charles L. Epstein
+	Solving the Transmission Problem for Open Wave-Guides, II Outgoing Estimates	2023	Charles L. Epstein
+	Geometry of the Phase Retrieval Problem	2022	Alexander H. Barnett Charles L. Epstein Leslie Greengard Jeremy F. Magland
+	Further Properties of Hybrid Iterative Algorithms and Suggestions for Improvement	2022	Alexander H. Barnett Charles L. Epstein Leslie Greengard Jeremy F. Magland
+	Asymptotics of Hybrid Iterative Maps	2022	Alexander H. Barnett Charles L. Epstein Leslie Greengard Jeremy F. Magland
+ PDF Chat	Debye source representations for type-I superconductors, I	2021	Charles L. Epstein Manas Rachh
+	Debye source representation for type-I superconductors, I.	2021	Charles L. Epstein Manas Rachh
+ PDF Chat	Recovering Missing Data in Coherent Diffraction Imaging	2021	David A. Barmherzig Alex H. Barnett Charles L. Epstein Leslie Greengard Jeremy F. Magland Manas Rachh
+ PDF Chat	Recovering Missing Data in Coherent Diffraction Imaging	2021	David A. Barmherzig Alex H. Barnett Charles L. Epstein Leslie Greengard Jeremy F. Magland Manas Rachh
+ PDF Chat	Geometry of the phase retrieval problem	2020	Alexander H. Barnett Charles L. Epstein Leslie Greengard Jeremy F. Magland
+	Recovering missing data in coherent diffraction imaging.	2020	David A. Barmherzig Alex B. Barnett Charles L. Epstein Leslie Greengard Jeremy F. Magland Manas Rachh
+	Some Analytic Results for Kimura Diffusion Operators	2020	Charles L. Epstein Jon Wilkening
+	Recovering missing data in coherent diffraction imaging	2020	David A. Barmherzig Alex B. Barnett Charles L. Epstein Leslie Greengard Jeremy F. Magland Manas Rachh
+ PDF Chat	Explicit unconditionally stable methods for the heat equation via potential theory	2019	Alex H. Barnett Charles L. Epstein Leslie Greengard Shidong Jiang Jun Wang
+ PDF	A high-order wideband direct solver for electromagnetic scattering from bodies of revolution	2019	Charles L. Epstein Leslie Greengard Michael O’Neil
+ PDF	Deformations of Singularities, Complex Manifolds and CR-Structures	2018	Charles L. Epstein
+ PDF Chat	Transition probabilities for degenerate diffusions arising in population genetics	2018	Charles L. Epstein Camelia A. Pop
+	Geometry of the Phase Retrieval Problem	2018	Alexander J. Barnett Charles L. Epstein Leslie Greengard Jeremy F. Magland
+	Existence of Solutions	2017	Charles L. Epstein Rafe Mazzeo
+	Holder Estimates for the 1-dimensional Model Problems	2017	Charles L. Epstein Rafe Mazzeo
+	Holder Estimates for General Models	2017	Charles L. Epstein Rafe Mazzeo
+	Degenerate Diffusion Operators Arising in Population Biology (AM-185)	2017	Charles L. Epstein Rafe Mazzeo
+	Holder Estimates for Higher Dimensional Corner Models	2017	Charles L. Epstein Rafe Mazzeo
+	The Semi-group on	2017	Charles L. Epstein Rafe Mazzeo
+	Maximum Principles and Uniqueness Theorems	2017	Charles L. Epstein Rafe Mazzeo
+	Holder Estimates for Euclidean Models	2017	Charles L. Epstein Rafe Mazzeo
+	The Model Solution Operators	2017	Charles L. Epstein Rafe Mazzeo
+	The Resolvent Operator	2017	Charles L. Epstein Rafe Mazzeo
+	Introduction	2017	Charles L. Epstein Rafe Mazzeo
+	The Feynman–Kac formula and Harnack inequality for degenerate diffusions	2017	Charles L. Epstein Camelia A. Pop
+	A high-order wideband direct solver for electromagnetic scattering from bodies of revolution.	2017	Charles L. Epstein Leslie Greengard Michael O’Neil
+ PDF Chat	Boundary Estimates for a Degenerate Parabolic Equation with Partial Dirichlet Boundary Conditions	2017	Charles L. Epstein Camelia A. Pop
+	Bergman and Szegö Kernels, CR Analysis	2017	Charles L. Epstein
+ PDF Chat	Eigenfunctions and the Dirichlet Problem for the Classical Kimura Diffusion Operator	2017	Charles L. Epstein Jon Wilkening
+	A high-order wideband direct solver for electromagnetic scattering from bodies of revolution	2017	Charles L. Epstein Leslie Greengard Michael O’Neil
+	Boundary estimates for a degenerate parabolic equation with partial Dirichlet boundary conditions	2016	Charles L. Epstein Camelia A. Pop
+	Transition probabilities for degenerate diffusions arising in population genetics	2016	Charles L. Epstein Camelia A. Pop
+ PDF	Harnack Inequalities and Heat Kernel Estimates for Degenerate Diffusion Operators Arising in Population Biology	2016	Charles L. Epstein Rafe Mazzeo
+ PDF	On the stability of time-domain integral equations for acoustic wave propagation	2016	Charles L. Epstein Leslie Greengard Thomas Hagstrom
+ PDF Chat	Smoothed Corners and Scattered Waves	2016	Charles L. Epstein Michael O’Neil
+	Transition probabilities for degenerate diffusions arising in population genetics	2016	Charles L. Epstein Camelia A. Pop
+	Boundary estimates for a degenerate parabolic equation with partial Dirichlet boundary conditions	2016	Charles L. Epstein Camelia A. Pop
+	Eigenfunctions and the Dirichlet problem for the Classical Kimura Diffusion Operator	2015	Charles L. Epstein Jon Wilkening
+	Smoothed corners and scattered waves	2015	Charles L. Epstein Michael O’Neil
+	On the stability of time-domain integral equations for acoustic wave propagation	2015	Charles L. Epstein Leslie Greengard Thomas Hagstrom
+ PDF Chat	Regularity for the Supercritical Fractional Laplacian with Drift	2015	Charles L. Epstein Camelia A. Pop
+ PDF Chat	Debye Sources, Beltrami Fields, and a Complex Structure on Maxwell Fields	2015	Charles L. Epstein Leslie Greengard Michael O’Neil
+	Smoothed corners and scattered waves	2015	Charles L. Epstein Michael O’Neil
+	On the stability of time-domain integral equations for acoustic wave propagation	2015	Charles L. Epstein Leslie Greengard Thomas Hagstrom
+	Eigenfunctions and the Dirichlet problem for the Classical Kimura Diffusion Operator	2015	Charles L. Epstein Jon Wilkening
+ PDF Chat	Formal properties of the probability of fixation: Identities, inequalities and approximations	2014	David M. McCandlish Charles L. Epstein Joshua B. Plotkin
+	Harnack Inequalities for Degenerate Diffusions	2014	Charles L. Epstein Camelia A. Pop
+	Harnack Inequalities and Heat-kernel Estimates for Degenerate Diffusion Operators Arising in Population Biology	2014	Charles L. Epstein Rafe Mazzeo
+ PDF	THE INEVITABILITY OF UNCONDITIONALLY DELETERIOUS SUBSTITUTIONS DURING ADAPTATION	2014	David M. McCandlish Charles L. Epstein Joshua B. Plotkin
+	The Geometric Microlocal Analysis of Generalized Kimura and Heston Diffusions	2014	Charles L. Epstein Rafe Mazzeo
+	Harnack Inequalities and Heat-kernel Estimates for Degenerate Diffusion Operators Arising in Population Biology	2014	Charles L. Epstein Rafe Mazzeo
+	Harnack Inequalities for Degenerate Diffusions	2014	Charles L. Epstein Camelia A. Pop
+ PDF Chat	Degenerate Diffusion Operators Arising in Population Biology	2013	Charles L. Epstein Rafe Mazzeo
+	Regularity for the supercritical fractional Laplacian with drift	2013	Charles L. Epstein Camelia A. Pop
+	Debye Sources, Beltrami Fields, and a Complex Structure on Maxwell Fields	2013	Charles L. Epstein Leslie Greengard Michael O’Neil
+ PDF Chat	On the Convergence of Local Expansions of Layer Potentials	2013	Charles L. Epstein Leslie Greengard Andreas Klöckner
+	Debye Sources, Beltrami Fields, and a Complex Structure on Maxwell Fields	2013	Charles L. Epstein Leslie Greengard Michael O’Neil
+	Regularity for the supercritical fractional Laplacian with drift	2013	Charles L. Epstein Camelia A. Pop
+	On the convergence of local expansions of layer potentials	2012	Charles L. Epstein Leslie Greengard Andreas Klöckner
+ PDF Chat	A Consistency Condition for the Vector Potential in Multiply-Connected Domains	2012	Charles L. Epstein Zydrunas Gimbutas Leslie Greengard Andreas Klöckner Michael O’Neil
+ PDF Chat	Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations II	2012	Charles L. Epstein Leslie Greengard Michael O’Neil
+	Analysis of Degenerate Diffusion Operators Arising in Population Biology	2012	Charles L. Epstein Rafe Mazzeo
+ PDF	Addendum to: Subelliptic Spin_(C) Dirac Operators, III	2012	Charles L. Epstein
+	Subelliptic SpinC Dirac Operators, IV Proof of the Relative Index Conjecture	2012	Charles L. Epstein
+	On the convergence of local expansions of layer potentials	2012	Charles L. Epstein Leslie Greengard Andreas Klöckner
+	Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations, II	2011	Charles L. Epstein Leslie Greengard Michael O’Neil
+	Degenerate Diffusion Operators Arising in Population Biology	2011	Charles L. Epstein Rafe Mazzeo
+ PDF	The Spectrum and Pseudospectrum of Non-self Adjoint Pseudodifferential Operators	2010	Charles L. Epstein
+ PDF Chat	Wright–Fisher Diffusion in One Dimension	2010	Charles L. Epstein Rafe Mazzeo
+ PDF	The hard pulse approximation for the AKNS (2 × 2)-system	2009	Charles L. Epstein Jeremy F. Magland
+	Wright-Fisher Diffusion in One Dimension	2009	Charles L. Epstein Rafe Mazzeo
+ PDF	Subelliptic Spin<sub>ℂ</sub>Dirac operators, III. The Atiyah–Weinstein conjecture	2008	Charles L. Epstein
+ PDF Chat	Cobordism, Relative Indices and Stein Fillings	2008	Charles L. Epstein
+ PDF	The Bad Truth about Laplace's Transform	2008	Charles L. Epstein John C. Schotland
+	Introduction to the Mathematics of Medical Imaging	2008	Charles L. Epstein
+	Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations	2008	Charles L. Epstein Leslie Greengard
+ PDF	Subelliptic Spin<sub>ℂ</sub>Dirac operators, II. Basic estimates	2007	Charles L. Epstein
+ PDF	Subelliptic Spin<sub>ℂ</sub>Dirac operators, I	2007	Charles L. Epstein
+	Subelliptic Spin_C Dirac operators, I	2007	Charles L. Epstein
+	Subelliptic Spin_C Dirac operators, II Basic Estimates	2007	Charles L. Epstein
+	Cobordism, Relative Indices and Stein Fillings	2007	Charles L. Epstein
+	SYMMETRIC SHAPE AVERAGING IN THE DIFFEOMORPHIC SPACE	2007	Brian Avants Charles L. Epstein James C. Gee
+	Subelliptic Spin_C Dirac operators, II Basic Estimates	2007	Charles L. Epstein
+	Subelliptic Spin_C Dirac operators, I	2007	Charles L. Epstein
+	Cobordism, Relative Indices and Stein Fillings	2007	Charles L. Epstein
+ PDF	Subelliptic boundary conditions for Spin <sub>ℂ</sub> –Dirac operators, gluing, relative indices, and tame Fredholm pairs	2006	Charles L. Epstein
+ PDF Chat	Anderson Localization, Non-linearity and Stable Genetic Diversity	2006	Charles L. Epstein
+	Geodesic Image Normalization and Temporal Parameterization in the Space of Diffeomorphisms	2006	Brian Avants Charles L. Epstein James C. Gee
+	Tempering the polylogarithm	2006	Charles L. Epstein Jack Morava
+	Subelliptic Spin_c Dirac operators, III The Atiyah-Weinstein conjecture	2005	Charles L. Epstein
+	Convergence of the Neumann Series in Higher Norms	2004	Charles L. Epstein
+ PDF	LECTURES ON INDICES AND RELATIVE INDICES ON CONTACT AND CR-MANIFOLDS	2004	Charles L. Epstein
+ PDF	How well does the finite Fourier transform approximate the Fourier transform?	2004	Charles L. Epstein
+ PDF	Introduction to magnetic resonance imaging for mathematicians	2004	Charles L. Epstein
+	GEOMETRIC BOUNDS ON THE RELATIVE INDEX	2002	Charles L. Epstein
+ PDF	Erratum: A Relative Index on the Space of Embeddable CR-Structures, I	2001	Charles L. Epstein
+ PDF	Erratum to: A global invariant for three-dimensional CR-manifolds	2000	D. Burns Charles L. Epstein
+ PDF	Deformations of open stein manifolds	2000	Charles L. Epstein Yong Ouyang
+ PDF	Stability of embeddings for pseudoconcave surfaces and their boundaries	2000	Charles L. Epstein Gennadi M. Henkin
+	Embeddings for 3-dimensional CR-manifolds	2000	Charles L. Epstein Gennadi M. Henkin
+ PDF	Two lemmas in local analytic geometry	2000	Charles L. Epstein Gennadi M. Henkin
+	A Relative Index on the Space of Embeddable CR-Structures, I	1998	Charles L. Epstein
+ PDF	Contact degree and the index of Fourier integral operators	1998	Charles L. Epstein Richard Melrose
+	A Relative Index on the Space of Embeddable CR-Structures, II	1998	Charles L. Epstein
+	Extension of CR-structures for 3-dimensional pseudoconcave manifolds	1997	Charles L. Epstein Gennadi M. Henkin
+	Spherical means in annular regions	1993	Charles L. Epstein Bruce Kleiner
+	CR-structures on three dimensional circle bundles	1992	Charles L. Epstein
+ PDF	Resolvent of the Laplacian on strictly pseudoconvex domains	1991	Charles L. Epstein Richard Melrose Gerardo A. Mendoza
+ PDF	Embeddability for Three-Dimensional CR-Manifolds	1990	D. Burns Charles L. Epstein
+ PDF	Embeddability for three-dimensional CR-manifolds	1990	D. Burns Charles L. Epstein
+ PDF	Characteristic numbers of bounded domains	1990	D. Burns Charles L. Epstein
+	Positive harmonic functions on Abelian covers	1989	Charles L. Epstein
+ PDF	A global invariant for three dimensional CR-manifolds	1988	D. Burns Charles L. Epstein
+	Asymptotics for closed geodesics in a homology class, the finite volume case	1987	Charles L. Epstein
+	Univalence criteria and surfaces in hyperbolic space.	1987	Charles L. Epstein
+	The Curve Shortening Flow	1987	Charles L. Epstein Michael E. Gage
+	A stable manifold theorem for the curve shortening equation	1987	Charles L. Epstein Michael I. Weinstein
+ PDF	The asymptotic boundary of a surface imbedded in $H^3$ with nonnegative curvature.	1987	Charles L. Epstein
+	The hyperbolic Gauss map and quasiconformal reflections.	1986	Charles L. Epstein
+	Visibility of the Martin boundary for quasiconformal metrics on 𝐷₁	1986	Charles L. Epstein
+	Incoming and outgoing waves	1985	Charles L. Epstein
+	Orthogonally integrable line fields in ℍ<sup>3</sup>	1985	Charles L. Epstein
+	Zeros ofL-functions attached to Maass forms	1985	Charles L. Epstein James Lee Hafner Peter Sarnak
+	The spectral theory of geometrically periodic hyperbolic 3-manifolds	1985	Charles L. Epstein

Common Coauthors

Coauthor	Papers Together
Leslie Greengard	27
Rafe Mazzeo	21
Camelia A. Pop	12
Michael O’Neil	12
Jeremy F. Magland	10
Manas Rachh	7
David A. Barmherzig	4
Jon Wilkening	4
Andreas Klöckner	4
Gennadi M. Henkin	4
Alexander H. Barnett	4
Alex H. Barnett	3
Thomas Hagstrom	3
D. Burns	3
Richard Melrose	2
Shidong Jiang	2
Joshua B. Plotkin	2
James C. Gee	2
Brian Avants	2
D. Burns	2
Alex B. Barnett	2
David M. McCandlish	2
Tristan Goodwill	1
Yong Ouyang	1
John C. Schotland	1
Michael E. Gage	1
Jack Morava	1
Zydrunas Gimbutas	1
Gerardo A. Mendoza	1
Michael I. Weinstein	1
Alexander J. Barnett	1
Bruce Kleiner	1
Jun Wang	1
James Lee Hafner	1
Peter Sarnak	1
Jeremy G. Hoskins	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Relative Index on the Space of Embeddable CR-Structures, I	1998	Charles L. Epstein	14
+	Calculus on Heisenberg manifolds	1988	Richard Beals Peter Greiner	12
+ PDF Chat	Degenerate Diffusion Operators Arising in Population Biology	2013	Charles L. Epstein Rafe Mazzeo	11
+	The range of the tangential Cauchy-Riemann operator	1986	J. J. Kohn	11
+	The analysis of linear partial differential operators	1990	Lars Hörmander	10
+	Integral Equation Methods in Scattering Theory	2013	David Colton Rainer Kreß	8
+ PDF Chat	Wright–Fisher Diffusion in One Dimension	2010	Charles L. Epstein Rafe Mazzeo	8
+ PDF	Contact degree and the index of Fourier integral operators	1998	Charles L. Epstein Richard Melrose	8
+	Embeddings of three dimensional Cauchy-Riemann manifolds	1994	L�szl� Lempert	8
+	On the Extension of Holomorphic Functions from the Boundary of a Complex Manifold	1965	J. J. Kohn Hugo Rossi	7
+	Attaching Analytic Spaces to an Analytic Space Along a Pseudoconcave Boundary	1965	Hugo Rossi	7
+ PDF	On three-dimensional Cauchy-Riemann manifolds	1992	László Lempert	7
+	Hybrid Gauss-Trapezoidal Quadrature Rules	1999	Bradley K. Alpert	6
+	Schauder estimates for a class of second order elliptic operators on a cube	2003	Sandra Cerrai Philippe Clément	6
+ PDF	Embeddability for three-dimensional CR-manifolds	1990	D. Burns Charles L. Epstein	6
+	The Neumann problem for the Cauchy-Riemann complex	1972	Gerald B. Folland J. J. Kohn	6
+ PDF	Regularity of the free boundary for the porous medium equation	1998	P. Daskalopoulos Robert Hamilton	6
+	Well-posedness of the martingale problem for some degenerate diffusion processes occurring in dynamics of populations	2004	Sandra Cerrai Philippe Clément	6
+	C0-estimates and smoothness of solutions to the parabolic equation defined by Kimura operators	2016	Camelia A. Pop	6
+	Principles of Algebraic Geometry	1978	Phillip Griffiths Joseph Harris	5
+	Analysis on local Dirichlet spaces. II. Upper Gaussian estimates for the fundamental solutions of parabolic equations	1995	Karl‐Theodor Sturm	5
+	Algebraic approximations in analytic geometry	1995	László Lempert	5
+	CR-structures on three dimensional circle bundles	1992	Charles L. Epstein	5
+	GEOMETRIC BOUNDS ON THE RELATIVE INDEX	2002	Charles L. Epstein	5
+ PDF Chat	Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations II	2012	Charles L. Epstein Leslie Greengard Michael O’Neil	5
+	On Boundaries of Complex Analytic Varieties, I	1975	F. Reese Harvey H. Blaine Lawson	5
+	A hierarchical extension scheme for backward solutions of the Wright-Fisher model	2014	Julian Hofrichter Tat Dat Tran Jürgen Jost	5
+	Singular Integrals and Boundary Value Problems	1966	R. Seeley	5
+ PDF	Harnack Inequalities and Heat Kernel Estimates for Degenerate Diffusion Operators Arising in Population Biology	2016	Charles L. Epstein Rafe Mazzeo	5
+	Noncommutative microlocal analysis	1984	Michael E. Taylor	4
+ PDF Chat	Holographic phase retrieval and reference design	2019	David A. Barmherzig Ju Sun Po-Nan Li Thomas J. Lane Emmanuel J. Candès	4
+ PDF	Real hypersurfaces in complex manifolds	1974	Shiing-Shen Chern Jürgen Moser	4
+ PDF Chat	Second-kind integral equations for the Laplace-Beltrami problem on surfaces in three dimensions	2018	Michael O’Neil	4
+	Heat Kernels and Dirac Operators	1992	Nicole Berline Ezra Getzler Michèle Vergne	4
+	Some questions about the index of quantized contact transformations	1998	Alan Weinstein	4
+	Partial Differential Equations for Probabilists	2001	Daniel W. Stroock	4
+	The Feynman–Kac formula and Harnack inequality for degenerate diffusions	2017	Charles L. Epstein Camelia A. Pop	4
+ PDF	On the index of Toeplitz operators of several complex variables	1978	L. Boutet de Monvel	4
+ PDF Chat	An explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces	2014	Johan Helsing Anders Karlsson	4
+	The spectral theory of Toeplitz operators	1981	L. Boutet de Monvel Victor Guillemin	4
+ PDF	A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations	1986	Eugene B. Fabes Nicola Garofalo Sandro Salsa	4
+	Harnack Inequalities and Heat-kernel Estimates for Degenerate Diffusion Operators Arising in Population Biology	2014	Charles L. Epstein Rafe Mazzeo	4
+ PDF	Stability of embeddings for pseudoconcave surfaces and their boundaries	2000	Charles L. Epstein Gennadi M. Henkin	4
+	Intégration des équations de Cauchy-Riemann induites formelles	1975	L. Boutet de Monvel	4
+	Moment Maps, Cobordisms, and Hamiltonian Group Actions	2002	Victor Guillemin Viktor L. Ginzburg Yael Karshon	4
+	Non-Homogeneous Boundary Value Problems and Applications	1973	J. L. Lions Enrico Magenes	4
+	$C^0$-estimates and smoothness of solutions to the parabolic equation defined by Kimura operators	2014	Camelia A. Pop	4
+	Schauder estimates for a degenerate second order elliptic operator on a cube	2007	Sandra Cerrai Philippe Clément	4
+ PDF	Local Formula for the Index of a Fourier Integral Operator	2001	Éric Leichtnam Ryszard Nest Boris Tsygan	4
+ PDF	Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization	2002	Heinz H. Bauschke Patrick L. Combettes D. Lüke	4