Functional calculus for $C_0$-semigroups using infinite-dimensional systems theory
Functional Analysis
2016-09-29 v1
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.
Cite
@article{arxiv.1502.01957,
title = {Functional calculus for $C_0$-semigroups using infinite-dimensional systems theory},
author = {Felix Schwenninger and Hans Zwart},
journal= {arXiv preprint arXiv:1502.01957},
year = {2016}
}
Comments
6 pages