Commuting analytic functions
作者： Carl C. Cowen
DOI: 10.1090/S0002-9947-1984-0737892-8
关键词: Function (mathematics) 、 Functional equation 、 Characterization (mathematics) 、 Automorphism 、 Fixed point 、 Conformal map 、 Analytic function 、 Mathematics 、 Mathematical analysis 、 Unit disk 、 Pure mathematics
摘要: Let f and g (not conformal automorphisms of the unit disk) be analytic mappings disk into itself. We say commute if o = f. This paper characterizes those functions that with a given function Several corollaries this characterization give qualitative information about similar f, examples are in each case to show limitations conclusions. Some properties considered univalence, fixed point sets, whether two such must other.
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