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arxiv: 1203.1839 · v2 · pith:IPOBFTZYnew · submitted 2012-03-08 · 🧮 math.CV · math.DS

Boundary behavior of infinitesimal generators in the unit ball

classification 🧮 math.CV math.DS
keywords ballinfinitesimalboundarygeneratorsjetsunitautomorphismsbehavior
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We prove a Julia-Wolff-Caratheodory type theorem for infinitesimal generators on the unit ball in C^n. Moreover, we study jets expansions at the boundary and give necessary and sufficient conditions on such jets for an infinitesimal generator to generate a group of automorphisms of the ball.

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