Asymptotic behavior of polynomials orthonormal on a homogeneous set
From MaRDI portal
Publication:1411294
DOI10.1007/BF02893078zbMath1032.42028arXivmath/0205332MaRDI QIDQ1411294
Franz Peherstorfer, Peter Yuditskii
Publication date: 27 October 2003
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0205332
Related Items (43)
Finite gap Jacobi matrices and the Schottky-Klein prime function ⋮ Lieb-Thirring inequalities for finite and infinite gap Jacobi matrices ⋮ Almost periodicity in time of solutions of the KdV equation ⋮ Almost periodic Verblunsky coefficients and reproducing kernels on Riemann surfaces ⋮ Weyl--Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle ⋮ From random matrices to quasi-periodic Jacobi matrices via orthogonal polynomials ⋮ Finite range perturbations of finite gap Jacobi and CMV operators ⋮ Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators ⋮ On the \(L^1\) extremal problem for entire functions ⋮ Spectral properties of a class of reflectionless Schrödinger operators ⋮ Mini-workshop: Direct and inverse spectral theory of almost periodic operators. Abstracts from the mini-workshop held July 21--27, 2013. ⋮ Asymptotic properties of polynomials orthogonal with respect to varying weights, and related topics of spectral theory ⋮ Killip-Simon problem and Jacobi flow on GMP matrices ⋮ Some Asymptotics for Extremal Polynomials ⋮ Stability of the non-critical spectral properties i: arithmetic absolute continuity of the integrated density of states ⋮ Asymptotic Properties of Jacobi Matrices for a Family of Fractal Measures ⋮ Finite gap Jacobi matrices. I: The isospectral torus ⋮ Szegő's theorem on Parreau-Widom sets ⋮ On measures generating orthogonal polynomials with similar asymptotic behavior of the ratio at infinity ⋮ On compact perturbations of finite-zone Jacobi operators ⋮ Finite gap Jacobi matrices. II: The Szegő class ⋮ Orthogonal polynomials of equilibrium measures supported on Cantor sets ⋮ Asymptotics of orthonormal polynomials in the presence of a denumerable set of mass points ⋮ On Chebyshev polynomials in the complex plane ⋮ Two extensions of Lubinsky's universality theorem ⋮ Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices ⋮ Orthogonal polynomials associated with equilibrium measures on \(\mathbb {R}\) ⋮ Essential closures and AC spectra for reflectionless CMV, Jacobi, and Schrödinger operators revisited ⋮ Dynamics in the Szeő class and polynomial asymptotics ⋮ Cantor polynomials and some related classes of OPRL ⋮ Perturbations of orthogonal polynomials with periodic recursion coefficients ⋮ Asymptotics of orthogonal polynomials and point perturbation on the unit circle ⋮ Equality of the spectral and dynamical definitions of reflection ⋮ Trace formulas and a Borg‐type theorem for CMV operators with matrix‐valued coefficients ⋮ Orthogonal polynomials on several intervals: accumulation points of recurrence coefficients and of zeros ⋮ An expansion for polynomials orthogonal over an analytic Jordan curve ⋮ Sharp lower bounds for the Widom factors on the real line ⋮ Orthogonal polynomials for the weakly equilibrium Cantor sets ⋮ CMV matrices with asymptotically constant coefficients. Szegő--Blaschke class, scattering theory ⋮ Szegő's condition on compact subsets of \(\mathbb{C}\) ⋮ On the direct Cauchy theorem in Widom domains: positive and negative examples ⋮ Finite gap Jacobi matrices: An announcement ⋮ Right limits and reflectionless measures for CMV matrices
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hardy classes on infinitely connected Riemann surfaces
- Critical points of Green's function, harmonic measure, and the corona problem
- Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
- Approximating the weight function for orthogonal polynomials on several intervals
- Theory of nonlinear lattices.
- Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and Hardy spaces of character-automorphic functions
- Asymptotics of orthogonal polynomials: Some old, some new, some identities
- Asymptotics for orthogonal polynomials
- The trace formula for Schrödinger operators on the line
- Extremal polynomials associated with a system of curves in the complex plane
- The maximum principle for multiple-valued analytic functions
- On Bernstein-Szegö orthogonal polynomials on several intervals. II: Orthogonal polynomials with periodic recurrence coefficients
- On the Green's function of Fuchsian groups
- On Bernstein–Szegö Orthogonal Polynomials on Several Intervals
- Elliptic Orthogonal and Extremal Polynomials
This page was built for publication: Asymptotic behavior of polynomials orthonormal on a homogeneous set
