On Invariant Subspaces of the Pommiez Operator in the Spaces of Entire Functions of Exponential Type

Аннотация

We describe closed invariant eigenspaces of the Pommmiez operator in the (LF)-space of entire functions of exponential type. This space is topologically equivalent (by means of the Laplace transform) to the strong dual space of all germs of functions that are analytic on a convex, locally closed subset of the complex plane.