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arXiv:1502.01957 [math.FA]AbstractReferencesReviewsResources

Functional calculus for $C_0$-semigroups using infinite-dimensional systems theory

Felix Schwenninger, Hans Zwart

Published 2015-02-06Version 1

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.

Comments: 6 pages
Categories: math.FA
Subjects: 47A60, 93C25
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