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 |
|---|---|
| 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 |
