On the completeness of orbits of a Pommiez operator in weighted (LF)-spaces of entire functions

Abstract

We describe cyclic vectors for a Pommiez operator on a weighted (LF)-space E of entire functions. The full description is obtained where $E$ is the Laplace transform of the strong dual of the space of all germs of holomorphic functions on a convex locally closed set in the complex plane.

16 pages