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19th International Conference on Operator Theory
June 27 - July 2, 2002
Institute of Mathematics of the Romanian Academy and the Faculty of Mathematics of the West University of Timisoara
Timisoara, Romania

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On Hermite-Biehler functions of finite order
by
Michael Kaltenbaeck
Coauthors: Harald Woracek

A partition of the class of all Hermite-Biehler of finite order into subclasses P\kappa is introduced. The belonging of a given function E(z) to P\kappa is characterized by -z-1logE(z) in N\kappa. Hereby, the class N\kappa is a well studied family of meromorphic functions on the upper half plane, which originates from operator theoretic problems. We also prove that the introduced subclasses are stable under bounded type perturbation.

Date received: May 27, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caiz-21.