Diagonalizability and symmetrizability of Sobolev-type bilinear forms: a combinatorial approach

DOI10.1016/J.LAA.2014.07.037zbMath1300.05321OpenAlexW2038509953MaRDI QIDQ405929

J. Herrera, H. S. Yoon

Publication date: 8 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.07.037

zbMATH Keywords

diagonalizabilitySobolev-type bilinear formsymmetrizability

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Moment problems and interpolation problems in the complex plane (30E05) Bilinear and Hermitian forms (11E39)

Related Items (3)

On the multiplication operator by an independent variable in matrix Sobolev spaces ⋮ 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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• On Sobolev orthogonal polynomials
• Ghost matrices and a characterization of symmetric Sobolev bilinear forms
• The moment problem for a Sobolev inner product
• Sobolev orthogonal polynomials and second-order differential equations
• Orthogonal polynomials on Sobolev spaces: Old and new directions
• Matrix Theory
• The Stieltjes Moments Problem for Rapidly Decreasing Functions
• The Sobolev-type moment problem
• A matrix algorithm towards solving the moment problem of Sobolev type

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