Another look at the Burns-Krantz Theorem
| dc.creator | Shoikhet, David | |
| dc.date | 2007-02-13 | |
| dc.date.accessioned | 2026-07-07T07:46:41Z | |
| dc.date.available | 2026-07-07T07:46:41Z | |
| dc.description | We obtain a generalization of the Burns-Krantz rigidity theorem for holomorphic self-mappings of the unit disk in the spirit of the classical Schwarz-Pick Lemma and its continuous version due to L.Harris via the generation theory for one-parameter semigroups. In particular, we establish geometric and analytic criteria for a holomorphic function on the disk with a boundary null point to be a generator of a semigroup of linear fractional transformations under some relations between three boundary derivatives of the function at this point. | |
| dc.identifier | https://arxiv.org/abs/math/0702377 | |
| dc.identifier | http://arxiv.org/abs/math/0702377 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123912 | |
| dc.subject | Complex Variables | |
| dc.title | Another look at the Burns-Krantz Theorem | |
| dc.type | text |