Conditions for the absolute and uniform convergence of the biorthogonal series corresponding to a differential operator
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Publication:1048510
DOI10.1134/S1064562408050281zbMath1211.34108MaRDI QIDQ1048510
Publication date: 12 January 2010
Published in: Doklady Mathematics (Search for Journal in Brave)
General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Rate of convergence, degree of approximation (41A25)
Related Items (6)
Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. II ⋮ Convergence of the spectral expansion in the eigenfunctions of a fourth-order differential operator ⋮ The Il’in Spectral Method for Determination of the Properties of the Basis Property and the Uniform Convergence of Biorthogonal Expansions on a Finite Interval ⋮ Uniform convergence of expansions in root functions of a differential operator with integral boundary conditions ⋮ On the uniform convergence of Fourier series expansions in the system of eigenfunctions of the equation of a vibrating rod at one end of which the mass is concentrated ⋮ Uniform convergence of spectral expansions for a problem with a boundary condition depending on a spectral parameter
Cites Work
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- Uniform convergence of biorthogonal series for the Schrödinger operator with multipoint boundary conditions
- Boundary value problems and related moduli of continuity
- On the eigenvalue distribution and a Bessel property criterion for root functions of a differential operator. I
- Dependence rate of equiconvergence on the module of continuity of potential of the Sturm--Liouville operator
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