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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Veröffentlicht in:	Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021, Vol.252 (3), p.399-419
1. Verfasser:	Malyutin, K. G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Interpolation Mathematics Mathematics and Statistics Nodes
Online-Zugang:	Volltext
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Zusammenfassung:	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