Orthogonal polynomials and expansion of analytic functions into Fourier series

摘要

Given a function f(z), analytic on a regular compact set E in the complex plane, and a sequence of polynomials, orthogonal, with respect to a nonnegative and integrable weight ω(z), on the boundary of E, we provide results about the behavior of the Fourier series of /(z) with respect to ω(z). The results are original.