We consider Jacobi matrices whose essential sectrum is a finite union of closed intervals. We focus on Szegő’s theorem, Jost solutions, and Szegő asymptotics for this situation. This announcement describes talks the authors gave at OPSFA 2007
In [1] we have proved a quantum De Moivre-Laplace theorem based on a modification of the Giri-von W...
2010 Mathematics Subject Classification: 33C45, 40G05.In this paper we give some results concerning ...
AbstractWe study an extremal problem related to “splitted” Jacobi weights: for α,β>0, find the large...
AbstractWe consider Jacobi matrices whose essential spectrum is a finite union of closed intervals. ...
We present necessary and sufficient conditions on the Jost function for the corresponding Jacobi par...
We present necessary and sufficient conditions on the Jost function for the corresponding Jacobi par...
We provide necessary and sufficient conditions for a Jacobi matrix to produce orthogonal polynomials...
We provide necessary and sufficient conditions for a Jacobi matrix to produce orthogonal polynomials...
We study the Case sum rules, especially C_0, for general Jacobi matrices. We establish situations wh...
Let e ⊂ R be a finite union of disjoint closed intervals. We study measures whose essential support ...
In this paper, several direct and inverse theorems are proved concerningthe approximation of one-var...
We prove a general operator theoretic result that asserts that many multiplicity two selfadjoint ope...
AbstractLet Ej be the eigenvalues outside [-2,2] of a Jacobi matrix with an-1∈ℓ2 and bn→0, and μ′ th...
We relate asymptotics of Jacobi parameters to asymptotics of the spectral weights near the edges. Ty...
AbstractWe prove a conjecture due to Y. Last. The new determinantal representation for transmission ...
In [1] we have proved a quantum De Moivre-Laplace theorem based on a modification of the Giri-von W...
2010 Mathematics Subject Classification: 33C45, 40G05.In this paper we give some results concerning ...
AbstractWe study an extremal problem related to “splitted” Jacobi weights: for α,β>0, find the large...
AbstractWe consider Jacobi matrices whose essential spectrum is a finite union of closed intervals. ...
We present necessary and sufficient conditions on the Jost function for the corresponding Jacobi par...
We present necessary and sufficient conditions on the Jost function for the corresponding Jacobi par...
We provide necessary and sufficient conditions for a Jacobi matrix to produce orthogonal polynomials...
We provide necessary and sufficient conditions for a Jacobi matrix to produce orthogonal polynomials...
We study the Case sum rules, especially C_0, for general Jacobi matrices. We establish situations wh...
Let e ⊂ R be a finite union of disjoint closed intervals. We study measures whose essential support ...
In this paper, several direct and inverse theorems are proved concerningthe approximation of one-var...
We prove a general operator theoretic result that asserts that many multiplicity two selfadjoint ope...
AbstractLet Ej be the eigenvalues outside [-2,2] of a Jacobi matrix with an-1∈ℓ2 and bn→0, and μ′ th...
We relate asymptotics of Jacobi parameters to asymptotics of the spectral weights near the edges. Ty...
AbstractWe prove a conjecture due to Y. Last. The new determinantal representation for transmission ...
In [1] we have proved a quantum De Moivre-Laplace theorem based on a modification of the Giri-von W...
2010 Mathematics Subject Classification: 33C45, 40G05.In this paper we give some results concerning ...
AbstractWe study an extremal problem related to “splitted” Jacobi weights: for α,β>0, find the large...