On the representation of regular functions by Dirichlet series in a closed disk
Abstract
In this paper it is shown that every function regular in a disk, whose second derivative satisfies a Lipschitz condition of order $\frac12+\alpha$ ( $\alpha>0$ ) on the boundary of the disk, can be expanded as a Dirichlet series which is absolutely and uniformly convergent in the closed disk. Bibliography: 7 titles.
Submission history
[v1] 1975