Two Variable Orthogonal Polynomials on the BiCircle and Structured Matrices

DOI10.1137/060662472zbMath1149.42015arXivmath/0612400OpenAlexW2024673934MaRDI QIDQ3516128

Jeffrey S. Geronimo, Hugo J. Woerdeman

Publication date: 1 August 2008

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612400

zbMATH Keywords

moment problembivariate orthogonal polynomialsrecurrence coefficientsdoubly Toeplitz matricespositive definite linear functionals

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Positive matrices and their generalizations; cones of matrices (15B48) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (9)

Polynomials with no zeros on a face of the bidisk ⋮ The Inverse of a Two-level Positive Definite Toeplitz Operator Matrix ⋮ Optimal approximants and orthogonal polynomials in several variables ⋮ Tridiagonal operators and zeros of polynomials in two variables ⋮ Parameters associated with bivariate Bernstein-Szegő measures on the bi-circle ⋮ Two Variable Orthogonal Polynomials and Fejér-Riesz Factorization ⋮ Spectral density functions of bivariable stable polynomials ⋮ Optimal approximants and orthogonal polynomials in several variables II: Families of polynomials in the unit ball ⋮ On the trigonometric moment problem in two dimensions

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