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arXiv · 1502.01957

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

Felix Schwenninger·Hans Zwart
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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.

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Felix Schwenninger, Hans Zwart. 2015-02-06. Functional calculus for $C_0$-semigroups using infinite-dimensional systems theory. https://doi.org/10.1007/978-3-319-18494-4_28

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