OPUC on one foot
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Publication:5695895
DOI10.1090/S0273-0979-05-01075-XzbMath1108.42005arXivmath/0502485OpenAlexW1967813368MaRDI QIDQ5695895
Publication date: 6 October 2005
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0502485
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Moment problems and interpolation problems in the complex plane (30E05) Trigonometric moment problems in one variable harmonic analysis (42A70)
Related Items (40)
2D Ising model: correlation functions at criticality via Riemann-type boundary value problems ⋮ Darboux transformations for CMV matrices ⋮ Weyl--Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle ⋮ First and second kind paraorthogonal polynomials and their zeros ⋮ Generalized bounded variation and inserting point masses ⋮ Asymptotics for invariant polynomials ⋮ Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators ⋮ Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas ⋮ CMV matrices: Five years after ⋮ Exponential of the \(S^1\) trace of the free field and Verblunsky coefficients ⋮ Meromorphic Szegő functions and asymptotic series for Verblunsky coefficients ⋮ Rank one perturbations and the zeros of paraorthogonal polynomials on the unit circle ⋮ The bead process for beta ensembles ⋮ Orthogonal polynomials on the unit circle and chain sequences ⋮ Canonical moments and random spectral measures ⋮ Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators ⋮ On orthogonal polynomials obtained via polynomial mappings ⋮ Conversations with Flaschka: Kac-Moody groups and Verblunsky coefficients ⋮ An explicit representation of Verblunsky coefficients ⋮ Palm measures for Dirac operators and the \(\operatorname{Sine}_{\beta}\) process ⋮ Localization for random CMV matrices ⋮ Localization for random unitary operators ⋮ Szegő's theorem and its probabilistic descendants ⋮ Sum rules and large deviations for spectral measures on the unit circle ⋮ Theorems of Szegö-Verblunsky type in the multivariate and almost periodic settings ⋮ Hodge Laplacians on Graphs ⋮ Extremal functions in de Branges and Euclidean spaces ⋮ Finite gap Jacobi matrices. II: The Szegő class ⋮ Contractions with rank one defect operators and truncated CMV matrices ⋮ A formula related to CMV matrices and Szegő cocycles ⋮ Quantum recurrence of a subspace and operator-valued Schur functions ⋮ Essential closures and AC spectra for reflectionless CMV, Jacobi, and Schrödinger operators revisited ⋮ AR and MA representation of partial autocorrelation functions, with applications ⋮ Orthogonal polynomials on the unit circle via a polynomial mapping on the real line ⋮ A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula ⋮ Asymptotics of orthogonal polynomials and point perturbation on the unit circle ⋮ Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle ⋮ Poisson brackets of orthogonal polynomials ⋮ Some spectral applications of McMullen’s Hausdorff dimension algorithm ⋮ Extremal problems in de Branges spaces: the case of truncated and odd functions
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