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This article is cited in 17 scientific papers (total in 18 papers)
Invariant subspaces of analytic functions. Analytic continuation
I. F. Krasichkov-Ternovskii
Abstract:
Let $G$ be a region in the complex plane; let $H$ be the space of functions analytic in $G$ with the topology of uniform convergence on compacta of $G$; let $W$ be a nontrivial invariant (with respect to differentiation) subspace in $H$ which admits a spectral synthesis. We investigate conditions for which all functions of $W$ can be analytically continued to a larger region $G'\supset G$.
Received: 04.01.1973
Citation:
I. F. Krasichkov-Ternovskii, “Invariant subspaces of analytic functions. Analytic continuation”, Math. USSR-Izv., 7:4 (1973), 933–947
Linking options:
https://www.mathnet.ru/eng/im2326https://doi.org/10.1070/IM1973v007n04ABEH001981 https://www.mathnet.ru/eng/im/v37/i4/p931
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