Operator calculus on the class of Sato’s hyperfunctions

M. I. Patra, S. V. Sharyn


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.


Functional calculus, analytic semigroups of operators, hyperfunctions

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