منابع مشابه
Mean Growth of Koenigs Eigenfunctions
In 1884, G. Koenigs solved Schroeder’s functional equationf ◦ φ = λf in the following context: φ is a given holomorphic function mapping the openunit disk U into itself and fixing a point a ∈ U , f is holomorphic on U , and λis a complex scalar. Koenigs showed that if 0 <|φ′(a)| < 1, then Schroeder’sequation for φ has a unique holomorphic solution σ satisfyingσ ◦ φ =...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 1997
ISSN: 0894-0347,1088-6834
DOI: 10.1090/s0894-0347-97-00224-5