On the linear functionals associated to linearly related sequences of orthogonal polynomials

DOI10.1016/j.jmaa.2005.05.018zbMath1084.42020OpenAlexW2092338340MaRDI QIDQ819651

J. Petronilho

Publication date: 29 March 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/4617

zbMATH Keywords

orthogonal polynomialsinverse problemsSobolev orthogonal polynomialslocally convex spacesmoment linear functionals

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (19)

Basic theory of finite-type relations between orthogonal polynomial sequences ⋮ О новой комбинации последовательности ортогональных полиномов ⋮ Multivariate Toda hierarchies and biorthogonal polynomials ⋮ (\(M,N\))-coherent pairs of linear functionals and Jacobi matrices ⋮ Orthogonality of quasi-orthogonal polynomials ⋮ On an inverse problem for a linear combination of orthogonal polynomials ⋮ On the semi-classical character of orthogonal polynomials satisfying structure relations ⋮ Characterization of orthogonal polynomials on lattices ⋮ On semi‐classical d‐orthogonal polynomials ⋮ On linearly related sequences of derivatives of orthogonal polynomials ⋮ Orthogonal polynomials associated with an inverse spectral transform. The cubic case ⋮ Higher order coherent pairs ⋮ An inverse problem associated with (1,1) symmetric coherent linear functionals ⋮ Orthogonal polynomials associated with an inverse quadratic spectral transform ⋮ Division problem of a regular form: the case \(x^2u=\lambda xv\) ⋮ Linear combinations of \(d\)-orthogonal polynomials ⋮ Some results on Dunkl-coherent Pairs ⋮ On another extension of coherent pairs of measures ⋮ On linearly related sequences of difference derivatives of discrete orthogonal polynomials

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• Prolégomènes à l'étude des polynômes orthogonaux semi- classiques. (Preliminary remarks for the study of semi-classical orthogonal polynomials)
• On linearly related orthogonal polynomials and their functionals
• On kernel polynomials and self-perturbation of orthogonal polynomials
• On rational transformations of linear functionals: direct problem
• Orthogonal polynomials and coherent pairs: The classical case
• A class of orthogonal polynomials
• Orthogonal Polynomials and Their Derivatives, II

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