Dependence of estimates of the local convergence rate of spectral expansions on the distance from an interior compact set to the boundary

Author:

Lomov I. S.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference9 articles.

1. Il’in, V.A., Spektral’naya teoriya differentsial’nykh operatorov (Spectral Theory of Differential Operators), Moscow: Nauka, 1991.

2. Il’in, V.A., Necessary and Sufficient Conditions for the Basis Property of Spectral Expansions and for the Equiconvergence with the Trigonometric Series. I, Differ. Uravn., 1980, vol. 16, no. 5, pp. 771–794; II, no. 6, pp. 980–1006.

3. Lomov, I.S., On the Influence of the Integrability Exponent of Coefficients of Differential Operators on the Rate of Convergence of Spectral Expansions. I., Differ. Uravn., 1998, vol. 34, no. 5, pp. 619–628; II, no. 8, pp. 1066–1077.

4. Lomov, I.S., On the Local Convergence of Biorthogonal Series Associated with Differential Operators with Nonsmooth Coefficients. I, Differ. Uravn., 2001, vol. 37, no. 3, pp. 328–342; II, no. 5, pp. 648–660.

5. Gomilko, A.M. and Radzievskii, G.V., Equiconvergence of Series in Eigenfunctions of Ordinary Functional-Differential Operator, Dokl. Akad. Nauk SSSR, 1991, vol. 316, no. 2, pp. 265–270.

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