AbstractWe relate asymptotics of Jacobi parameters to asymptotics of the spectral weights near the edges. Typical of our results is that for an≡1, bn=−Cn−β (0<β<23), one has dμ(x)=w(x)dx on (−2,2), and near x=2, w(x)=e−2Q(x) where Q(x)=β−1C1βΓ(32)Γ(1β−12)(2−x)12−1βΓ(1β+1)(1+O((2−x)))
AbstractWe consider OPRL and OPUC with measures regular in the sense of Ullman–Stahl–Totik and prove...
AbstractLet p be a trigonometric polynomial, non-negative on the unit circle T. We say that a measur...
AbstractClassical Jacobi polynomials Pn(α,β), with α,β>-1, have a number of well-known properties, i...
We relate asymptotics of Jacobi parameters to asymptotics of the spectral weights near the edges. Ty...
We relate asymptotics of Jacobi parameters to asymptotics of the spectral weights near the edges. Ty...
We relate asymptotics of Jacobi parameters to asymptotics of the spectral weights near the edges. Ty...
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...
AbstractWe consider Jacobi matrices whose essential spectrum is a finite union of closed intervals. ...
We consider Jacobi matrices whose essential sectrum is a finite union of closed intervals. We focus ...
Let e ⊂ R be a finite union of disjoint closed intervals. We study measures whose essential support ...
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...
AbstractIt is well-known that the roots of any two orthogonal polynomials are distributed equally if...
AbstractWe consider OPRL and OPUC with measures regular in the sense of Ullman–Stahl–Totik and prove...
AbstractLet p be a trigonometric polynomial, non-negative on the unit circle T. We say that a measur...
AbstractClassical Jacobi polynomials Pn(α,β), with α,β>-1, have a number of well-known properties, i...
We relate asymptotics of Jacobi parameters to asymptotics of the spectral weights near the edges. Ty...
We relate asymptotics of Jacobi parameters to asymptotics of the spectral weights near the edges. Ty...
We relate asymptotics of Jacobi parameters to asymptotics of the spectral weights near the edges. Ty...
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...
AbstractWe consider Jacobi matrices whose essential spectrum is a finite union of closed intervals. ...
We consider Jacobi matrices whose essential sectrum is a finite union of closed intervals. We focus ...
Let e ⊂ R be a finite union of disjoint closed intervals. We study measures whose essential support ...
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...
AbstractIt is well-known that the roots of any two orthogonal polynomials are distributed equally if...
AbstractWe consider OPRL and OPUC with measures regular in the sense of Ullman–Stahl–Totik and prove...
AbstractLet p be a trigonometric polynomial, non-negative on the unit circle T. We say that a measur...
AbstractClassical Jacobi polynomials Pn(α,β), with α,β>-1, have a number of well-known properties, i...
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