Functional calculus for generators of analytic semigroups of operators



functional calculus, analytic semigroups of operators, Schwartz tempered distributions
Published online: 2012-06-28


We construct a functional calculus for generators of one-parameter bounded analytic semigroups of operators on a Banach space. The calculus symbol class consist of the Laplace image of the convolution algebra $\cal S'_+$ of tempered distributions with supports in $[0, \infty)$. Domain of constructed calculus is dense in the Banach space.

How to Cite
Lopushansky, O.; Sharyn, S. Functional Calculus for Generators of Analytic Semigroups of Operators. Carpathian Math. Publ. 2012, 4, 83-89.

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