Representing Exponential Systems in Spaces of Analytic Functions

This paper is devoted to representing exponential systems in various subspaces of the space H ( D ) of functions that are analytic in a bounded convex domain D . We consider two kinds of such subspaces: uniformly weighted spaces H ( D, φ) and spaces of the type of Carleman classes H ( D, M).

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-08, Vol.257 (2), p.143-205
Main Author: Isaev, K. P.
Format: Article
Language:English
Subjects:
Analytic functions
Mathematics
Mathematics and Statistics
Subspaces
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Summary:This paper is devoted to representing exponential systems in various subspaces of the space H ( D ) of functions that are analytic in a bounded convex domain D . We consider two kinds of such subspaces: uniformly weighted spaces H ( D, φ) and spaces of the type of Carleman classes H ( D, M).
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05478-0