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arXiv · 1608.03850

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

Olga A. Ivanova·Sergej N. Melikhov
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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.

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Olga A. Ivanova, Sergej N. Melikhov. 2016-08-12. On the completeness of orbits of a Pommiez operator in weighted (LF)-spaces of entire functions. https://arxiv.org/abs/1608.03850

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