Multilevel interpolations for the generalized Nikishin system on a tree graph

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.

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Publication Details

Journal
Transactions of the Moscow Mathematical Society
Published
2024-09-16
DOI
https://doi.org/10.1090/mosc/338
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

Multilevel interpolations for the generalized Nikishin system on a tree graph

Владимир Генрихович Лысов
Transactions of the Moscow Mathematical Society
Differential Equations and Boundary Problems
article

Multilevel interpolations for the generalized Nikishin system on a tree graph

Владимир Генрихович Лысов
article en

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.

Transactions of the Moscow Mathematical Society
Keldysh Institute of Applied Mathematics (RU)
Openalex Percentile: Top 72%
Differential Equations and Boundary Problems
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Multilevel interpolations for the generalized Nikishin system on a tree graph — Владимир Генрихович Лысов · Transactions of the Moscow Mathematical Society (2024) | TGRS Research Map | TGRS