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Classical equiconvergence problem for the Sturm-Liouville operator with a singular potential. (English. Russian original) Zbl 1419.34231

Differ. Equ. 55, No. 4, 490-499 (2019); translation from Differ. Uravn. 55, No. 4, 504-513 (2019).
Summary: We study the classical problem of equiconvergence of spectral expansions for the Sturm-Liouville operator with a singular potential. We present various conditions on the potential guaranteeing the equiconvergence for the expansions of an arbitrary integrable complex-valued function.

MSC:

34L10 Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators
34B24 Sturm-Liouville theory
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