Operator calculus on the class of Sato's hyperfunctions

Karpatsʹkì Matematičnì Publìkacìï

卷:5

关键词: Functional calculus;    analytic semigroups of operators;    hyperfunctions;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown