Decrease of bounded holomorphic functions along discrete sets
| dc.creator | Pau, Jordi | |
| dc.creator | Thomas, Pascal J. | |
| dc.date | 2001-06-07 | |
| dc.date | 2002-09-06 | |
| dc.date.accessioned | 2026-07-07T04:42:02Z | |
| dc.date.available | 2026-07-07T04:42:02Z | |
| dc.description | We provide results of uniqueness for holomorphic functions in the Nevanlinna class bridging those previously obtained by Hayman and Lyubarskii-Seip. Namely, we propose certain classes of hyperbolically separated sequences in the disk, in terms of the rate of non-tangential accumulation to the boundary (the endpoints of this spectrum of classes being respectively the sequences with a non-tangential cluster set of positive measure, and the sequences violating the Blaschke condition); and for each of those classes, we give a critical condition of radial decrease on the modulus which will force a Nevanlinna class function to vanish identically. | |
| dc.description | 13 pp ; rewritten introduction, proofs revised for clarity, a number of minor corrections | |
| dc.identifier | https://arxiv.org/abs/math/0106048 | |
| dc.identifier | http://arxiv.org/abs/math/0106048 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61606 | |
| dc.subject | Complex Variables | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 30D50 (Primary), 30D55 (Secondary) | |
| dc.title | Decrease of bounded holomorphic functions along discrete sets | |
| dc.type | text |