Abstract

The Sturm-Liouville operator in the space under Dirichlet boundary conditions is investigated. It is assumed that , (here, differentiation is used in the distributional sense). The problem of when the expansion of a function in terms of a series of eigenfunctions and associated functions of the operator is uniformly equiconvergent on the whole of the interval with its Fourier sine series expansion is considered. It is shown that such uniform convergence holds for any function in the space .Bibliography: 22 titles.

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