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

摘要

We analyze the uniform convergence of the Fourier series expansions of H?lder functions in the system of eigenfunctions of a spectral problem with squared spectral parameter in a boundary condition. To this end, we first prove a theorem on the equiconvergence of such expansions with those in a well-known orthonormal basis.