Titlebook: Continuous Semigroups of Holomorphic Self-maps of the Unit Disc; Filippo Bracci,Manuel D. Contreras,Santiago Díaz-M Book 2020 Springer Nat

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使人煩燥

archetype

埋葬

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

Mutter

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 model

Foam-Cells

Aggrandize

mutineer

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 the

Sad570

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