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.Full text not available from this repository.
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)|
|Additional Information:||© 2005 the author|
|Uncontrolled Keywords:||transfer function classes, infinite-dimensional systems, coherent rings, stabilization|
|Library of Congress subject classification:||Q Science > QA Mathematics|
|Sets:||Departments > Mathematics
Research centres and groups > Computational, Discrete and Applicable Mathematics@LSE (CDAM)
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