Uniform equiconvergence of a Fourier series in eigenfunctions of the first boundary value problem and of a Fourier trigonometric series.

V. A. Vinokurov, Victor A. Sadovnichij

Publication date: 15 June 2004

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

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (6)

Equiconvergence of spectral decompositions for the Dirac system with potential in Lebesgue spaces ⋮ Equiconvergence of expansions in eigenfunctions of Sturm-Liouville operators with distributional potentials in Hölder spaces ⋮ Equiconvergence of spectral decompositions for Sturm-Liouville operators: triples of Lebesgue spaces ⋮ Uniform convergence of expansions in root functions of a differential operator with integral boundary conditions ⋮ Classical equiconvergence problem for the Sturm-Liouville operator with a singular potential ⋮ Equiconvergence of the trigonometric Fourier series and the expansion in eigenfunctions of the Sturm-Liouville operator with a distribution potential

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