Interpolation Problems of A. F. Leontiev Type

In this paper, we discuss free interpolation in the spaces of entire and analytic finite-order functions in the upper half-plane. A review of problems and basic results related to such problems is given. Solvability criteria are formulated in terms of canonical products of interpolation nodes and in...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021, Vol.252 (3), p.399-419
Main Author: Malyutin, K. G.
Format: Article
Language:English
Subjects:
Interpolation
Mathematics
Mathematics and Statistics
Nodes
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Summary:In this paper, we discuss free interpolation in the spaces of entire and analytic finite-order functions in the upper half-plane. A review of problems and basic results related to such problems is given. Solvability criteria are formulated in terms of canonical products of interpolation nodes and in terms of the measure determined by these nodes.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-05168-3