Functional calculus for generators of analytic semigroups of operators
Array
Keywords:
functional calculus, analytic semigroups of operators, Schwartz tempered distributionsAbstract
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.
Downloads
Published
2012-06-28
How to Cite
(1)
Lopushansky, O.; Sharyn, S. Functional Calculus for Generators of Analytic Semigroups of Operators: Array. Carpathian Math. Publ. 2012, 4, 83-89.
Issue
Section
Scientific articles