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

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    Abstract

    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 PublicationCham
    PublisherSpringer
    Pages483-489
    Number of pages7
    ISBN (Electronic)978-3-319-18494-4
    ISBN (Print)978-3-319-18493-7
    DOIs
    Publication statusPublished - 2015

    Publication series

    NameOperator Theory: Advances and Applications
    PublisherBirkhäuser
    Volume250
    ISSN (Print)0255-0156
    ISSN (Electronic)2296-4878

    Keywords

    • H∞-calculus
    • Functional calculus
    • Admissibility
    • C0-semigroups
    • Infinite-dimensional systems theory

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