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

    Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

    49 Downloads (Pure)

    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 PublicationLondon
    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
    PublisherSpringer Verlag
    Volume250
    ISSN (Print)0255-0156

    Keywords

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

    Fingerprint

    Dive into the research topics of 'Functional calculus for C<sub>0</sub>-semigroups using infinite-dimensional systems theory'. Together they form a unique fingerprint.

    Cite this