Felix L. Schwenninger, Hans Zwart
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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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.
Key concepts: Mathematical proof, Functional calculus, Calculus (dental), Mathematics, Time-scale calculus, Infinitesimal, Hilbert space, Algebra over a field