Vinnikov, Victor (Ben Gurion Univ.)

Realization of Rational Inner Functions on the Bidisc

Scheduled for presentation during the Mini-Symposium "The state space method: new directions and problems" (FrA12), Friday, July 28, 2006, 11:40−12:05, Room 104b

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 23, 2024

Abstract

We present explicit algebraic formulae (in terms of the function denominator) for conservative realizations of a scalar rational inner function on the bidisc continuous up to the boundary. The formulae follow from the geometric analysis of the two evolution scattering system with the given scattering function.