Finite gap Jacobi matrices: An announcement

Jacob S. Christiansen, Barry Simon, Maxim Zinchenko

Type: Article

Publication Date: 2009-03-01

Citations: 10

DOI: https://doi.org/10.1016/j.cam.2009.02.081

View Publication

Locations

Journal of Computational and Applied Mathematics - View
arXiv (Cornell University) - View - PDF
CaltechAUTHORS (California Institute of Technology) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Finite Gap Jacobi Matrices, II. The Szegő Class	2010	Jacob S. Christiansen Barry Simon Maxim Zinchenko
+ PDF Chat	Finite Gap Jacobi Matrices, III. Beyond the Szegő Class	2012	Jacob S. Christiansen Barry Simon Maxim Zinchenko
+	Finite Gap Jacobi Matrices, II. The Szegő Class	2009	Jacob S. Christiansen Barry Simon Maxim Zinchenko
+	Finite Gap Jacobi Matrices, II. The Szeg\H{o} Class	2009	Jacob S. Christiansen Barry Simon Maxim Zinchenko
+ PDF Chat	Finite gap Jacobi matrices: A review	2013	Jacob S. Christiansen Barry Simon Maxim Zinchenko
+	Finite gap Jacobi matrices: A review	2013	Jacob S. Christiansen Barry Simon Maxim Zinchenko
+	Finite Gap Jacobi Matrices, III. Beyond the Szegő Class	2011	Jacob S. Christiansen Barry Simon Maxim Zinchenko
+	Finite Gap Jacobi Matrices, III. Beyond the Szeg\H{o} Class	2011	Jacob S. Christiansen Barry Simon Maxim Zinchenko
+	Finite Gap Jacobi Matrices, I. The Isospectral Torus	2008	Jacob S. Christiansen Barry Simon Maxim Zinchenko
+	Finite Gap Jacobi Matrices, I. The Isospectral Torus	2008	Jacob S. Christiansen Barry Simon Maxim Zinchenko
+	Finite Gap Jacobi Matrices: A Review	2013	Jacob S. Christiansen Barry Simon Maxim Zinchenko
+ PDF Chat	A Strong Szegő Theorem for Jacobi Matrices	2007	E. Ryckman
+	Sergey Naboko’s Legacy on the Spectral Theory of Jacobi Operators	2023	Luis O. Silva Sergey Simonov
+ PDF Chat	Jost functions and Jost solutions for Jacobi matrices, I. A necessary and sufficient condition for Szegő asymptotics	2006	David Damanik Barry Simon
+	Jacobi Matrices: Eigenvalues and Spectral Gaps	2008	J. Dombrowski
+	Absolutely continuous spectrum of Jacobi matrices	2002	A. Laptev S. Naboko O. Safronov
+ PDF Chat	Marchenko-Ostrovski mappings for periodic Jacobi matrices	2007	Evgeny Korotyaev Anton A. Kutsenko
+	Inverse spectral theory for Jacobi matrices and their almost periodicity	1994	Anand J. Antony M. Krishna
+ PDF Chat	Unbounded Jacobi Matrices with a Few Gaps in the Essential Spectrum: Constructive Examples	2011	Anne Boutet de Monvel Jan Janas Serguei Naboko
+	Gap-length mapping for periodic Jacobi matrices	2006	Evgeny Korotyaev

Works That Cite This (10)

Action	Title	Year	Authors
+ PDF Chat	Weak limits for weighted means of orthogonal polynomials	2020	Wolfgang Erb
+ PDF Chat	Szegő's theorem on Parreau–Widom sets	2011	Jacob S. Christiansen
+	On the Direct Cauchy Theorem in Widom Domains: Positive and Negative Examples Peter Yuditskii	2012	Peter Yuditskii
+	Orthogonal polynomials on several intervals: Accumulation points of recurrence coefficients and of zeros	2011	Franz Peherstorfer
+ PDF Chat	Finite Gap Jacobi Matrices, I. The Isospectral Torus	2009	Jacob S. Christiansen Barry Simon Maxim Zinchenko
+	Weak limits for weighted means of orthogonal polynomials	2018	Wolfgang Erb
+	Finite Gap Jacobi Matrices, I. The Isospectral Torus	2008	Jacob S. Christiansen Barry Simon Maxim Zinchenko
+	Szego's theorem on Parreau-Widom sets	2011	Jacob S. Christiansen
+	On the Direct Cauchy Theorem in Widom Domains: Positive and Negative Examples	2010	Peter Yuditskii
+	Orthogonal polynomials on several intervals: accumulation points of recurrence coefficients and of zeros	2010	Franz Peherstorfer

Works Cited by This (36)

Action	Title	Year	Authors
+	Orthogonal Polynomials, Recurrences, Jacobi Matrices, and Measures	1992	Paul Nevai
+	Potential Theory in the Complex Plane	1995	Thomas Ransford
+	Representations of Finite and Compact Groups	1995	Barry Simon
+ PDF Chat	Asymptotics of orthonormal polynomials in the presence of a denumerable set of mass points	2001	Franz Peherstorfer Peter Yuditskii
+ PDF Chat	Beiträge zur Theorie der Toeplitzschen Formen	1920	G. Szegö
+	Remark on the paper "Asymptotic behavior of polynomials orthonormal on a homogeneous set"	2006	Franz Peherstorfer Peter Yuditskii
+	On Rakhmanov’s theorem for Jacobi matrices	2003	Sergey A. Denisov
+	Orthogonal Polynomials on the Unit Circle	2005	Barry Simon
+	Mathematics and its applications	2005	Shing Tung Yau
+ PDF Chat	Inequalities for certain Fuchsian groups	1971	Alan F. Beardon