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Complete systems of partial derivatives of entire functions and frequently hypercyclic operators

Authors:	Vitaly E Kim

Institution:	Russian Academy of Sciences, Institute of Mathematics with Computing Center, 112 Chernyshevsky str., Ufa, 450008, Russia

Abstract:	We find some sufficient conditions for a system of partial derivatives of an entire function to be complete in the space H(C^d) $H (C^{d})$ of all entire functions of d variables. As an application of this result we describe new classes of frequently hypercyclic operators on H(C^d) $H (C^{d})$ .

Keywords:	Frequently hypercyclic operator Entire function
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