Functional calculus for C0-semigroups using infinite-dimensional systems theory

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    In this short note we use ideas from systems theory to define a functional calculus for infinitesimal generators of strongly continuous semigroups on a Hilbert space. Among others, we show how this leads to new proofs of (known) results in functional calculus.

    Original languageEnglish
    Title of host publicationOperator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics
    EditorsWolfgang Arendt, Ralph Chill, Yuri Tomilov
    Place of PublicationLondon
    Number of pages7
    ISBN (Electronic)978-3-319-18494-4
    ISBN (Print)978-3-319-18493-7
    Publication statusPublished - 2015

    Publication series

    NameOperator Theory : Advances and Applications
    PublisherSpringer Verlag
    ISSN (Print)0255-0156


    • EWI-26603
    • H∞ Functional calculus
    • Functional calculus
    • METIS-315605
    • admissibility
    • IR-99260
    • C0-semigroups
    • Infinite-dimensional systems theory


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