Operator calculus on the class of Sato's hyperfunctions
M.I. Patra, Sharyn S.V. · DOAJ (DOAJ: Directory of Open Access Journals) · 2013
We construct a functional calculus for generators of analytic semigroupsof operators on a Banach space. The symbol class of the calculusconsists of hyperfunctions with a compact support in $[0, infty)$. Domain of constructedcalculus isdense in the Banach space.