A Wiener-type theorem for arcs in the unit cirle
arXiv:2407.19424
Abstract
We prove a Wiener-type theorem for arcs in the unit circle which concerns express the measure of an arc in the unit circle via the measure's Fourier coefficients. Then we use it to give the Fourier series of the Cantor and to compute the local dimension of a measure satisfying certain conditions of Fourier coefficients.
11 pages. Comments welcome