Spectra of Jacobi Matrices, Differential Equations on the Circle, and the $su(1,1)$ Lie Algebra

DOI10.1137/0524051zbMath0777.39003OpenAlexW2051413153WikidataQ115247139 ScholiaQ115247139MaRDI QIDQ5287977

Julian Edward

Publication date: 9 August 1993

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0524051

zbMATH Keywords

spectrumLie algebrainfinite Jacobi matrix

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Difference operators (39A70) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Linear difference operators (47B39)

Related Items (10)

Spectral analysis of selfadjoint Jacobi matrices with periodically modulated entries ⋮ Approximation and asymptotics of eigenvalues of unbounded self-adjoint Jacobi matrices acting in \(l^{2}\) by the use of finite submatrices ⋮ Alternative approaches to asymptotic behaviour of eigenvalues of some unbounded Jacobi matrices ⋮ Unbounded Jacobi matrices at critical coupling ⋮ Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices ⋮ Asymptotic formula for large eigenvalues of the two-photon quantum Rabi model ⋮ Spectral theory of certain unbounded Jacobi matrices ⋮ Asymptotics of large eigenvalues for some discrete unbounded Jacobi matrices ⋮ Asymptotic Behavior of Large Eigenvalues of the Two-Photon Rabi Model ⋮ Explicit Error Estimates for Eigenvalues of Some Unbounded Jacobi Matrices

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