Almost periodic divisors, holomorphic functions, and holomorphic mappings
| dc.creator | Favorov, S. | |
| dc.date | 2007-01-28 | |
| dc.date.accessioned | 2026-07-07T07:43:37Z | |
| dc.date.available | 2026-07-07T07:43:37Z | |
| dc.description | We prove that to each almost periodic (in the sense of distributions) divisor in a tube one can assign a first Chern class of a special line bundle over Bohr's compact set generated by the divisor such that the trivial cohomology class represents divisors of all almost periodic holomorphic functions on a tube. This description yields various geometric conditions for an almost periodic divisor to be the divisor of a holomorphic almost periodic function. We also give a complete description for the divisors of homogeneous coordinates for holomorphic almost periodic curves; in particular, we obtain a description for the divisors of meromorphic almost periodic functions. | |
| dc.identifier | https://arxiv.org/abs/math/0701819 | |
| dc.identifier | http://arxiv.org/abs/math/0701819 | |
| dc.identifier | Bulletin des Sciences Mathematiques, v.127 (2003), 859-883 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122895 | |
| dc.subject | Complex Variables | |
| dc.subject | 32A60(Primary), 42A75 (Secondary) | |
| dc.title | Almost periodic divisors, holomorphic functions, and holomorphic mappings | |
| dc.type | text |