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

摘要

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