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JOURNALS // Contemporary Mathematics. Fundamental Directions // Archive

CMFD, 2024 Volume 70, Issue 4, Pages 597–609 (Mi cmfd561)

Interpolation by Earl's method in the space of functions of semi-formal order

M. V. Kabanko, K. G. Malyutin

Kursk State University, Kursk, Russia

Abstract: We consider the problem of simple free interpolation in the space of functions of finite order and normal type in a half-plane. We propose its solution by the method of shifting interpolation nodes. This solution is based on Earl's method, who solved the problem of free interpolation in the space of analytic bounded functions in a unit circle.

Keywords: free interpolation, finite order function, shift of interpolation nodes, Earl's method.

UDC: 517.53

DOI: 10.22363/2413-3639-2024-70-4-597-609



© Steklov Math. Inst. of RAS, 2025