A canonical factorization for meromorphic Herglotz functions on the unit disk and sum rules for Jacobi matrices

Barry Simon

Type: Article

Publication Date: 2004-01-27

Citations: 36

DOI: https://doi.org/10.1016/j.jfa.2003.11.006

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Locations

Journal of Functional Analysis - View

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Works That Cite This (34)

Action	Title	Year	Authors
+ PDF Chat	Jost functions and Jost solutions for Jacobi matrices, I. A necessary and sufficient condition for Szegő asymptotics	2006	David Damanik Barry Simon
+	Spectral Properties of Schrödinger Operators with Decaying Potentials	2007	Sergey A. Denisov Alexander Kiselev
+	On the preservation of absolutely continuous spectrum for Schrodinger operators	2005	Sergey A. Denisov
+	Absolutely continuous spectrum of a Schrödinger operator on a tree	2008	S. Kupin
+ PDF Chat	Large deviations and sum rules for spectral theory: a pedagogical approach	2018	Jonathan Breuer Barry Simon Ofer Zeitouni
+	Analogs of the m-function in the theory of orthogonal polynomials on the unit circle	2004	Barry Simon
+ PDF Chat	Szegő's theorem on Parreau–Widom sets	2011	Jacob S. Christiansen
+	On the preservation of absolutely continuous spectrum for Schrödinger operators	2005	Sergey A. Denisov
+	Finite gap Jacobi matrices: An announcement	2009	Jacob S. Christiansen Barry Simon Maxim Zinchenko
+ PDF Chat	Higher-order Szegő theorems with two singular points	2005	Barry Simon Andrej Zlatoš

Works Cited by This (11)

Action	Title	Year	Authors
+	On the determination of a potential from three spectra	1999	Fritz Gesztesy Barry Simon
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin
+	Orthogonal Polynomials on the Unit Circle	2005	Barry Simon
+	<i>Toeplitz Forms and Their Applications</i>	1958	Ulf Grenander Gábor Szegő Mark Kac
+	Polynomials orthogonal on a circle and their applications	1954	Я. Л. Геронимус
+ PDF Chat	Sum rules for Jacobi matrices and their applications to spectral theory	2003	Rowan Killip Barry Simon
+	Distribution of Zeros of Entire Functions	1964	Б. В. Левин
+ PDF Chat	Sum Rules and the Szegő Condition for Orthogonal Polynomials on the Real Line	2003	Barry Simon Andrej Zlatoš
+	Orthogonal Polynomials	1972	Albert L. Rabenstein
+ PDF Chat	Orthogonal Polynomials	1971