On the uniform convergence in C 1 of Fourier series for a spectral problem with squared spectral parameter in a boundary condition

摘要

We study the uniform convergence in C 1 of the Fourier series of a Hölder function in a system of eigenfunctions corresponding to a spectral problem with squared spectral parameter in a boundary condition. We preliminarily study one more spectral problem with a spectral parameter in a boundary condition.