Sasane, Amol (London School of Ec.)

On the Coherence of Some Irrational Transfer Function Classes

Scheduled for presentation during the Regular Session "Infinite Dimensional and Distributed Parameter Systems I" (MoA06), Monday, July 24, 2006, 11:40−12:05, Room G

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 26, 2024

Abstract

Let D, T denote the unit disc and unit circle, respectively, in the complex plane C, with center 0. If S is an open subset of T, then let A(S) denote the set of complex-valued functions defined on the union of D with S, that are analytic in D, and continuous and bounded on the union of D and S. Then A(S) is a ring with pointwise addition and multiplication. We prove that if S is not empty, then the ring A(S) is not coherent.