Separation of Boundary Singularities for Holomorphic Generators

Details Separation of Boundary Singularities for Holomorphic Generators Separation of Boundary Singularities for Holomorphic Generators

2010-02-25

arxiv.org/abs/1002.4883v1

Mathematics

Complex Variables

Scientific paper

We prove a theorem on separation of boundary null points for generators of
continuous semigroups of holomorphic self-mappings of the unit disk in the
complex plane. Our construction demonstrates the existence and importance of a
particular role of the binary operation $\circ$ given by $1 / f \circ g = 1/f +
1/g$ on generators.

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