Sasane, Amol 
ORCID: 0000-0001-5566-9877
(2005)
On the coherence of some irrational transfer function classes.
CDAM research report series (CDAM-LSE-2005-16).
Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.
Abstract
Let D, T denote the unit disc and unit circle, respectively, in C, with center 0. If S T, then let AS denote the set of complex-valued functions dened on D[S that are analytic in D, and continuous and bounded on D [ S. Then AS is a ring with pointwise addition and multiplication. We prove that if the intersection of S with the set of limit points of S is not empty, then the ring AS is not coherent.
| Item Type: | Monograph (Report) |
|---|---|
| Official URL: | http://www.cdam.lse.ac.uk |
| Additional Information: | © 2005 the author |
| Divisions: | Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 23 Oct 2008 11:27 |
| Last Modified: | 12 Dec 2024 05:42 |
| URI: | http://eprints.lse.ac.uk/id/eprint/13884 |
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