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The moment problem for a Sobolev inner product

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Publication:1125469
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DOI10.1006/jath.1999.3359zbMath0980.44008OpenAlexW2010600793MaRDI QIDQ1125469

D. Barrios Rolanía, Héctor Pijeira Cabrera, Guillermo López Lagomasino

Publication date: 13 February 2000

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10016/6365


zbMATH Keywords

orthogonal polynomialsSobolev inner productHankel matricescanonical decompositionSobolev moment problem


Mathematics Subject Classification ID

Moment problems (44A60)


Related Items (7)

Diagonalizability and symmetrizability of Sobolev-type bilinear forms: a combinatorial approach ⋮ On a class of Sobolev scalar products in the polynomials. ⋮ Analytic aspects of Sobolev orthogonal polynomials revisited ⋮ A matrix algorithm towards solving the moment problem of Sobolev type ⋮ Strong asymptotics for Sobolev orthogonal polynomials ⋮ Ghost matrices and a characterization of symmetric Sobolev bilinear forms ⋮ Hessenberg-Sobolev matrices and Favard type theorem



Cites Work

  • Asymptotic properties of Sobolev orthogonal polynomials
  • Orthogonal polynomials on Sobolev spaces: Old and new directions
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