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Trudy Moskovskogo Matematicheskogo Obshchestva, 2022, Volume 83, Issue 2, Pages 345–361 (Mi mmo677)  
Multilevel interpolations for the generalized Nikishin system on a tree graph

V. G. Lysov

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
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Abstract: We study a multilevel interpolation problem for a system of Markov functions defined by a tree graph. The normality of all indices has been proven. Asymptotic properties are studied in terms of the vector equilibrium problem for logarithmic potential.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-283
This research was completed at the Moscow Centre for Fundamental and Applied Mathematics with financial support from the Russian Ministry of Education and Science (agreement 075-15-2022-283).
Received: 12.08.2022
English version:
Transactions of the Moscow Mathematical Society
DOI: https://doi.org/10.1090/mosc/338
Document Type: Article
UDC: 517.53
MSC: 41A05
Language: Russian
Citation: V. G. Lysov, “Multilevel interpolations for the generalized Nikishin system on a tree graph”, Tr. Mosk. Mat. Obs., 83, no. 2, MCCME, M., 2022, 345–361
Citation in format AMSBIB
\Bibitem{Lys22}
\by V.~G.~Lysov
\paper Multilevel interpolations for the generalized Nikishin system on a tree graph
\serial Tr. Mosk. Mat. Obs.
\yr 2022
\vol 83
\issue 2
\pages 345--361
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo677}
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