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Interpolating Blaschke Products: Stolz and Tangential Approach Regions

Authors:	Daniel Girela Jose Angel Pelaez Dragan Vukotic

Affiliation:	(1) Departamento de Analisis Matematico, Universidad de Malaga, Campus de Teatinos, 29071 Malaga, Spain;(2) Departamento de Analisis Matematico, Universidad de Sevilla, Avenida de la Reina Mercedes, Apartado de correos 1160, 41080 Sevilla, Spain;(3) Departamento de Matematicas, Universidad Autonoma de Madrid, 28049 Madrid, Spain

Abstract:	A result of D.J. Newman asserts that a uniformly separated sequence contained in a Stolz angle is a finite union of exponential sequences. We extend this by obtaining several equivalent characterizations of such sequences. If the zeros of a Blaschke product B lie in a Stolz angle, then for all $p<frac 32$ and it has recently been shown that this result cannot be improved. Also, Newman's result can be used to prove that if B is an interpolating Blaschke product whose zeros lie in a Stolz angle, then $$B^primeinbigcap_{0 . In this paper we prove that if the zeros of an interpolating Blaschke product lie in a disk internally tangent to the unit circle, then <img src=$
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