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On the coherence of some irrational transfer function classes

Sasane, Amol (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.

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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:
Additional Information: © 2005 the author
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 23 Oct 2008 11:27
Last Modified: 16 May 2024 13:09

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