On the representation of Sobolev systems orthogonal with respect to the inner product with one discrete point

DOI10.1134/S0001434622030269zbMath1487.42063OpenAlexW4224473478MaRDI QIDQ2133842

M. G. Magomed-Kasumov, T. N. Shakh-Émirov

Publication date: 5 May 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622030269

zbMATH Keywords

Sobolev orthogonalitycompleteness of orthogonal systemsdifferentiation of Sobolev systemsrepresentation of Sobolev systems

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Cites Work

• On Sobolev orthogonal polynomials
• Sobolev-orthogonal systems of functions associated with an orthogonal system
• Sobolev-orthogonal systems of functions and some of their applications

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