Functional calculus for generators of analytic semigroups of operators
Lopushansky O.V., Sharyn S.V. · DOAJ (DOAJ: Directory of Open Access Journals) · 2012
We construct a functional calculus for generators of one-parameter boundedanalytic semigroups of operators on a Banach space. The calculus symbol classconsist of the Laplace image of the convolution algebra $cal S'_+$ of tempereddistributions with supports in $[0, infty)$. Domain of constructed calculus isdense in the Banach space.