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Interpolation Problems of A. F. Leontiev Type

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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.

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  1. Southwest State University, Kursk, Russia

    K. G. Malyutin

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  1. K. G. Malyutin
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Correspondence to K. G. Malyutin.

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Dedicated to Corresponding Member of the Academy of Sciences of the USSR Professor A. F. Leontiev

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 153, Complex Analysis, 2018.

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Malyutin, K.G. Interpolation Problems of A. F. Leontiev Type. J Math Sci 252, 399–419 (2021). https://doi.org/10.1007/s10958-020-05168-3

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