This article is cited in 7 papers

On the representation of regular functions by Dirichlet series in a closed disk

Yu. I. Mel'nik


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.

UDC: 517.53

MSC: Primary 30A16; Secondary 30A66

Received: 24.10.1973

 English version: Mathematics of the USSR-Sbornik, 1975, 26:4, 449–457

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