Absolutely continuous Jacobi operators

DOI10.1090/S0002-9939-02-06339-6zbMath1028.33009MaRDI QIDQ4529686

Steen Pedersen

Publication date: 6 May 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsabsolute continuityweighted shiftJacobi matrix

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spectrum, resolvent (47A10) Difference operators (39A70) Linear difference operators (47B39)

Related Items

Spectral properties of some Jacobi matrices with double weights. ⋮ Spectral properties of singular discrete linear Hamiltonian systems ⋮ Unbounded Jacobi matrices with a few gaps in the essential spectrum: Constructive examples ⋮ A commutator approach to absolute continuity for unbounded Jacobi operators ⋮ Spectral properties of unbounded Jacobi matrices with almost monotonic weights ⋮ Spectral theory of certain unbounded Jacobi matrices ⋮ Essential spectrum of singular discrete linear Hamiltonian systems ⋮ Spectral theory of a class of block Jacobi matrices and applications ⋮ Mourre's theory for some unbounded Jacobi matrices

Cites Work

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