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This article is cited in 6 scientific papers (total in 6 papers)
The moment problem, interpolation and basicity
Yu. F. Korobeinik
Abstract:
The article contains criteria for the solvability of the general moment problem in countably Hilbert spaces. The relationship between the general interpolation problem in reflexive spaces and the corresponding moment problem is also established. The results lead on the one hand to criteria for solvability of the general interpolation problem (and, in particular, of the Hermite problem) in various function spaces, and, on the other hand, to necessary and sufficient conditions for a system $\{z^{p_k}f(\lambda_kz)\}$, where $f$ is an entire function, to form a basis in its linear hull.
Bibliography: 27 titles.
Received: 28.02.1978
Citation:
Yu. F. Korobeinik, “The moment problem, interpolation and basicity”, Math. USSR-Izv., 13:2 (1979), 277–306
Linking options:
https://www.mathnet.ru/eng/im1917https://doi.org/10.1070/IM1979v013n02ABEH002044 https://www.mathnet.ru/eng/im/v42/i5/p989
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