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

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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… Click to show full abstract

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.

Keywords: functions exponential; exponential type; operator; entire functions; subspaces pommiez; invariant subspaces

Journal Title: Journal of Mathematical Sciences
Year Published: 2019

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