Uniform Convergence of Expansions in Root Functions of a Differential Operator with Integral Boundary Conditionsстатья
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Дата последнего поиска статьи во внешних источниках: 13 июня 2019 г.
Аннотация:For a second-order ordinary differential operator with integral boundary conditions
on an interval of the real line, we derive conditions for the uniform convergence of the spectral
expansion of a function in a series in the system of eigenfunctions and associated functions
of the operator. We obtain estimates of the rate of convergence of the series and the rate
of equiconvergence of such an expansion of a function and its expansion in the trigonometric
Fourier series. We also study the uniform convergence of the expansion of a function in the
biorthogonal system.