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 rather strikingly the particular role of the binary operation ◦ given by 1/ f ◦ g = 1/f + 1/g on generators.
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This research is part of the European Science Foundation Networking Programme HCAA.
The second author gratefully acknowledges the support of the Deutsche Forschungsgemeinschaft.
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Elin, M., Shoikhet, D. & Tarkhanov, N. Separation of boundary singularities for holomorphic generators. Annali di Matematica 190, 595–618 (2011). https://doi.org/10.1007/s10231-010-0165-y
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DOI: https://doi.org/10.1007/s10231-010-0165-y