Abstract:
We consider systems of exponentials that are orthogonal to measures dσ of a special form on (−a,a). Under certain conditions on the summation method, these systems form summation bases Lp(−a,a) and in C0 (the subspace of C[−a,a] orthogonal
to dσ). With respect to these systems, Lipschitzian functions in C0 are expanded into non-harmonic Fourier series that converge uniformly on [−a,a].