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Separation of boundary singularities for holomorphic generators
- 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 au broken vertical bar given by 1/ f au broken vertical bar g = 1/f + 1/g on generators.
Author details: | Mark Elin, David Shoikhet, Nikolai Nikolaevich TarkhanovORCiDGND |
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DOI: | https://doi.org/10.1007/s10231-010-0165-y |
ISSN: | 0373-3114 |
Title of parent work (English): | Annali di matematica pura ed applicata |
Publisher: | Springer |
Place of publishing: | Heidelberg |
Publication type: | Article |
Language: | English |
Year of first publication: | 2011 |
Publication year: | 2011 |
Release date: | 2017/03/26 |
Tag: | Angular derivatives; Holomorphic map; Semigroup; Unit disk |
Volume: | 190 |
Issue: | 4 |
Number of pages: | 24 |
First page: | 595 |
Last Page: | 618 |
Funding institution: | Deutsche Forschungsgemeinschaft |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
Peer review: | Referiert |