Two variable orthogonal polynomials and structured matrices

DOI10.1137/05062946XzbMath1136.42305OpenAlexW2113163466MaRDI QIDQ5470527

Francisco Marcellán, Plamen Iliev, Antonia M. Delgado, Jeffrey S. Geronimo

Publication date: 31 May 2006

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

Full work available at URL: https://doi.org/10.1137/05062946x

zbMATH Keywords

moment problembivariate orthogonal polynomialspositive linear functionalsHankel matrices.

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (7)

On a two-variable class of Bernstein-Szegő measures ⋮ Multivariate orthogonal polynomials and integrable systems ⋮ Relative asymptotics of matrix orthogonal polynomials for Uvarov perturbations: the degenerate case ⋮ Tridiagonal operators and zeros of polynomials in two variables ⋮ Parameters associated with bivariate Bernstein-Szegő measures on the bi-circle ⋮ Recursive procedures for Krall-Sheffer operators ⋮ Structure relations for monic orthogonal polynomials in two discrete variables

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