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引用次数: 0
摘要
本文给出了泛函方程(1 +¯ζ eθ z)pf (z) = f (ω(0))f (z)的判定的完整描述，其中ω(z) = (eθ z + ζ)/(1 +¯ζ eθ z) -单位圆E的自同构，并在解析函数E中搜索判定。建立了给定泛函方程的研究与自同构的平稳点ω(z)的性质密切相关。
Apie funkcionalinę lygtį susijusią su vienetinio skritulio automorfizmu
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 of a given functional equation is closely connected to property of stationary points of automorpism ω(z).
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