Necessary and sufficient conditions for the Riesz basis property of the eigen- and associated functions of high-order differential operators on an interval

DOI10.1134/S1064562408020336zbMath1155.47047OpenAlexW2014000677MaRDI QIDQ951724

B. E. Eshmatov

Publication date: 27 October 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562408020336

zbMATH Keywords

Riesz basis propertyeigen- and associated functionshigh-order differential operators

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Eigenvalue problems for linear operators (47A75) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (5)

Riesz basis property of system of root functions of second-order differential operator with involution ⋮ Basicity properties of eigenfunctions of the periodic problem for differential operator Lu = −u″(−x) + q(x)u(x) ⋮ Riesz basicity for general systems of functions ⋮ Well-posedness of a parabolic equation with nonlocal boundary condition ⋮ Affine Bessel sequences and Nikishin’s example

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