On representations of some classes of functions subharmonic in the unit disk and in the half-plane (Q1896851)
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scientific article; zbMATH DE number 795427
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On representations of some classes of functions subharmonic in the unit disk and in the half-plane |
scientific article; zbMATH DE number 795427 |
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On representations of some classes of functions subharmonic in the unit disk and in the half-plane (English)
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18 October 1995
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The author establishes Riesz type representations for some classes of functions subharmonic in the unit disk or in the upper half-plane. These results generalize the earlier ones by \textit{A. M. Dzhrbashyan} [On canonical representations of functions meromorphic in the unit disk, Dokl. Akad. Nauk Arm. SSR 3, 3--9 (1945)], \textit{F. A. Shamoyan} [Dokl., Akad. Nauk Arm. SSR 90, No. 3, 99--103 (1990; Zbl 0722.30020)]\ and \textit{A. M. Dzhrbashyan (Djrbashian)} [Izv. Akad. Nauk Arm. SSR, Mat. 22, 451--477 (1987; Zbl 0649.30025)].
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subharmonic functions
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Besov measure
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Riesz measure
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