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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 153, Pages 108–127 (Mi into367)  
This article is cited in 1 scientific paper (total in 1 paper)

Interpolation Problems of A. F. Leontiev Type

K. G. Malyutin

Southwest State University, Kursk
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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.
Keywords: free interpolation, generalized Lagrange series, entire function, proximate order, divisor, canonical function, half-plane, Riesz measure, generalized Jones series.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 252, Issue 3, Pages 399–419
DOI: https://doi.org/10.1007/s10958-020-05168-3
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 30D15, 30H50
Language: Russian
Citation: K. G. Malyutin, “Interpolation Problems of A. F. Leontiev Type”, Complex analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 153, VINITI, Moscow, 2018, 108–127; J. Math. Sci. (N. Y.), 252:3 (2021), 399–419
Citation in format AMSBIB
\Bibitem{Mal18}
\by K.~G.~Malyutin
\paper Interpolation Problems of A.~F.~Leontiev Type
\inbook Complex analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 153
\pages 108--127
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into367}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3903395}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 252
\issue 3
\pages 399--419
\crossref{https://doi.org/10.1007/s10958-020-05168-3}
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