Discreteness of Some Continuous Spectrum Eigenfunction Expansions

DOI10.2307/2159847zbMath0799.47028OpenAlexW4235465080MaRDI QIDQ3141308

Robert M. Kauffman, Don B. Hinton

Publication date: 28 November 1993

Full work available at URL: https://doi.org/10.2307/2159847

zbMATH Keywords

Dirichlet problem for second-order ordinary differential operators on a half-linereplacing the integrals in continuous spectrum expansions by finite sums

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (1)

Generalized eigenfunction expansions for spectral multiplicity one and application in analytic number theory

Cites Work

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• Series representation and asymptotics for Titchmarsh-Weyl m-functions
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Finite eigenfunction approximations for continuous spectrum operators
• Absolutely Continuous Spectra of Second Order Differential Operators with Short and Long Range Potentials
• On the Strong Limit-n Classification of Linear Ordinary Differential Expressions of Order 2n

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