INTERPOLATION PROBLEMS FOR FUNCTIONS WITH ZERO BALL MEANS

Let 𝑛 >= 2, 𝑉_𝑟(R^𝑛) be the set of functions with zero integrals over all balls in R^𝑛 of radius 𝑟. Various interpolation problems for the class 𝑉_𝑟(R^𝑛) are studied. In the case when the set of interpolation nodes is finite, we solve the interpolation problem under general conditions. For the pr...

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Bibliographic Details
Main Authors: V. V. Volchkov, Vit. V. Volchkov
Format: Article
Language:English
Published: Petrozavodsk State University 2021-08-01
Series:Проблемы анализа
Subjects:
Online Access:https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=10751&lang=ru