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Classical operators on the Hörmander algebras

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  • We study the integration operator, the differentiation operator and more general differential operators on radial Fréchet or (LB) Hörmander algebras of entire functions. We analyze when these operators are power bounded, hypercyclic and (uniformly) mean ergodic.
    Mathematics Subject Classification: Primary: 47B38; Secondary: 47A16, 46E15.


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