K. G. Malyutin, “Interpolation Problems of A. F. Leontiev Type”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2018, Volume 153,Pages <nobr>108

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Interpolation Problems of A. F. Leontiev Type

K. G. Malyutin

Southwest State University, Kursk

Abstract: 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.

Keywords: free interpolation, generalized Lagrange series, entire function, proximate order, divisor, canonical function, half-plane, Riesz measure, generalized Jones series.

UDC: 517.53

MSC: 30D15, 30H50