On a functional equation related to an automorphism of a unit circle

In this article the complete description of the decisions of a functional equation (1 + ¯ζeiθ z)pf (z) = f (ω(0))f (z) is given, where ω(z) = (eiθ z + ζ )/(1 + ¯ζeiθ z) – automorphism of a unit circle E and the decisions are searched among analytical in E functions. It is established, that research...

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Bibliographic Details
Main Author: Eduardas Kirjackis
Format: Article
Language:English
Published: Vilnius University Press 2023-09-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.zurnalai.vu.lt/LMR/article/view/30568