芭蕾舞女演员 发表于 2025-3-30 08:46:59
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Models and Koenigs Functionsorbits of a semigroup or abstract basin of attraction) which inherits a complex structure of simply connected Riemann surface, in such a way that the semigroup is conjugated to a continuous group of automorphisms of such a Riemann surface. Moreover, our construction is universal, which implies that可忽略 发表于 2025-3-31 01:41:02
http://reply.papertrans.cn/24/2371/237018/237018_55.pngMutter 发表于 2025-3-31 06:35:17
Extension to the Boundarynd the principal part of prime ends of domains defined by Koenigs functions, we prove that every Koenigs function and every iterate of a semigroup have non-tangential limit at every boundary point. Moreover, the semigroup functional equation and the functional equation defined by the canonical modelFoam-Cells 发表于 2025-3-31 13:06:08
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Contact Pointschapter we examine the other points, which turn out to be contact points, and we show that super-repelling fixed points can be divided into two separated sets: those which are the landing point of a backward orbit and those which are the initial point of a maximal contact arc (in the latter case theSad570 发表于 2025-3-31 21:57:45
Poles of the Infinitesimal Generators terms of .-points (. pre-images of values with a positive (Carleson-Makarov) .-numbers) of the associated semigroup and of the associated Koenigs function. We also define a natural duality operation in the cone of infinitesimal generators and show that the regular poles of an infinitesimal generato