Orthogonal polynomials and rigged Hilbert space

DOI10.1016/0022-1236(86)90021-2zbMath0586.47015OpenAlexW2107365524MaRDI QIDQ1071277

Domenico P. L. Castrigiano

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90021-2

zbMATH Keywords

representation theoremorthogonal polynomialsorthonormal basisJacobi operatorrigged Hilbert spacegeneralized eigenvectorsFavard's theoremnuclear spacestufen space

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

• Die Stufenräume, eine einfache Klasse linearer vollkommener Räume
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