TW 512

Karl Deckers and Adhemar Bultheel
A Favard theorem for rational functions with complex poles

Abstract

Let {φn} be a sequence of rational functions with arbitrary complex poles, generated by a certain three term recurrence relation. In this paper we show that -under some mild conditions- the rational functions φn form an orthonormal system with respect to a Hermitian positive definite inner product.

report.pdf (780K) / mailto: K. Deckers