Ghost matrices and a characterization of symmetric Sobolev bilinear forms

DOI10.1016/J.LAA.2009.02.014zbMath1214.15016OpenAlexW1966397968MaRDI QIDQ1019637

J. Martínez

Publication date: 4 June 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.02.014

zbMATH Keywords

orthogonal polynomialsmoment functionalsymmetric bilinear formghost functionghost matrix

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Quadratic and bilinear forms, inner products (15A63) Other special methods applied to PDEs (35A25)

Related Items (7)

On the multiplication operator by an independent variable in matrix Sobolev spaces ⋮ Zero location and asymptotic behavior for extremal polynomials with non-diagonal Sobolev norms ⋮ Diagonalizability and symmetrizability of Sobolev-type bilinear forms: a combinatorial approach ⋮ A new approach to the asymptotics of Sobolev type orthogonal polynomials ⋮ Concerning asymptotic behavior for extremal polynomials associated to nondiagonal Sobolev norms ⋮ On a Family of Hypergeometric Sobolev Orthogonal Polynomials on the Unit Circle ⋮ On some Sobolev spaces with matrix weights and classical type Sobolev orthogonal polynomials

Uses Software

• OPQ

Cites Work

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• The Stieltjes moment problem for functions of bounded variation
• A New Class of Orthogonal Polynomials: The Bessel Polynomials
• A matrix algorithm towards solving the moment problem of Sobolev type

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