Functional calculus for C0-semigroups using infinite-dimensional systems theory
Autor: | Schwenninger, F.L., Zwart, Hans, Arendt, Wolfgang, Chill, Ralph, Tomilov, Yuri |
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Jazyk: | angličtina |
Rok vydání: | 2015 |
Předmět: |
EWI-26603
Pure mathematics Infinitesimal 010102 general mathematics Hilbert space Mathematical proof C0-semigroups 01 natural sciences Functional calculus symbols.namesake Systems theory Infinite-dimensional systems theory 0103 physical sciences symbols H∞ Functional calculus 010307 mathematical physics METIS-315605 admissibility 0101 mathematics IR-99260 Mathematics |
Zdroj: | Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics ISBN: 9783319184937 Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics, 483-489 STARTPAGE=483;ENDPAGE=489;TITLE=Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics |
ISSN: | 0255-0156 |
DOI: | 10.1007/978-3-319-18494-4_28 |
Popis: | 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. |
Databáze: | OpenAIRE |
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