Operator calculus on the class of Sato’s hyperfunctions

Keywords: functional calculus, analytic semigroups of operators, hyperfunctions
Published online: 2013-06-20


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.

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How to Cite
Patra M., Sharyn S. Operator Calculus on the Class of Sato’s Hyperfunctions. Carpathian Math. Publ. 2013, 5 (1), 114-120.