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arXiv · 1002.4883

Separation of Boundary Singularities for Holomorphic Generators

Mark Elin·David Shoikhet·Nikolai Tarkhanov
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Abstract

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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Mark Elin, David Shoikhet, Nikolai Tarkhanov. 2010-02-25. Separation of Boundary Singularities for Holomorphic Generators. https://arxiv.org/abs/1002.4883

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