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.

## 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) |
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Official URL: | http://www.cdam.lse.ac.uk |

Additional Information: | © 2005 the author |

Divisions: | Mathematics |

Subjects: | Q Science > QA Mathematics |

Sets: | Departments > Mathematics Research centres and groups > Computational, Discrete and Applicable Mathematics@LSE (CDAM) |

Date Deposited: | 23 Oct 2008 11:27 |

Last Modified: | 23 Feb 2019 00:02 |

URI: | http://eprints.lse.ac.uk/id/eprint/13884 |

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