Universal functions for taylor shifts

Description

In this paper a new sort of operators, the Taylor shifts, is introduced. They appear as a generalization of weighted backward shifts on the spaces of entire functions and of holomorphic functions in the unit disk. Necessary and sufficient conditions for the existence of universal functions with respect to a sequence of such operators are investigated. Several earlier results are derived as consequences.

Abstract

Dirección General de Investigación Científica y Técnica (DGICYT). España

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