Survey article: Self-adjoint ordinary differential operators and their spectrum

DOI10.1216/RMJ-2015-45-3-763zbMath1369.47057OpenAlexW1919755183MaRDI QIDQ491352

Anton Zettl, Jiong Sun

Publication date: 25 August 2015

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1440168293

zbMATH Keywords

spectrumdeficiency indexself-adjoint operators

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)

Related Items

Characterization of symmetric operators and their Friedrichs extension for singular Sturm-Liouville problems ⋮ A GKN theorem for symmetric operators ⋮ A symmetric GKN-type theorem and symmetric differential operators ⋮ Hamiltonian systems and Sturm-Liouville equations: Darboux transformation and applications ⋮ First order self-adjoint multipoint quasi-differential operators ⋮ First order selfadjoint differential operators with involution ⋮ Proof of the deficiency index conjecture ⋮ Characterization of self-adjoint domains for two-interval even order singular \(C\)-symmetric differential operators in direct sum spaces ⋮ Canonical forms of self-adjoint boundary conditions for regular differential operators of order three ⋮ NEW CANONICAL FORMS OF SELF-ADJOINT BOUNDARY CONDITIONS FOR REGULAR DIFFERENTIAL OPERATORS OF ORDER FOUR ⋮ Multipoint selfadjoint quasi-differential operators for first order ⋮ AN UNBOUNDED OPERATOR WITH SPECTRUM IN A STRIP AND MATRIX DIFFERENTIAL OPERATORS

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