Operator calculus on the class of Sato's hyperfunctions
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.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vasyl Stefanyk Precarpathian National University
2013-06-01
|
| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Subjects: | |
| Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/169/135 |