Operator calculus on the class of Sato’s hyperfunctions

M.I. Patra; S.V. Sharyn

doi:10.15330/cmp.5.1.114-120

Operator calculus on the class of Sato’s hyperfunctions

Authors

M.I. Patra Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
S.V. Sharyn Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine https://orcid.org/0000-0003-2547-1442

https://doi.org/10.15330/cmp.5.1.114-120

Keywords:

functional calculus, analytic semigroups of operators, hyperfunctions

Published online: 2013-06-20

Abstract

We construct a functional calculus for generators of analytic semigroups of operators on a Banach space. The symbol class of the calculus consists of hyperfunctions with a compact support in $[0,\infty)$. Domain of constructed calculus is dense in the Banach space.