Two families of functions related to the fractional powers of generators of strongly continuous contraction semigroups. (Q1405300)
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scientific article; zbMATH DE number 1970829
| Language | Label | Description | Also known as |
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| English | Two families of functions related to the fractional powers of generators of strongly continuous contraction semigroups. |
scientific article; zbMATH DE number 1970829 |
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Two families of functions related to the fractional powers of generators of strongly continuous contraction semigroups. (English)
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25 August 2003
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In this paper, two families of functions on \((0,\infty)\) are studied; namely, Lévy stable density functions and Mittag--Leffler functions. They are related to the theory of fractional powers of generators of strongly continuous semigroups. Laplace transforms and other properties are considered.
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fractional power of operators
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Laplace transform
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Mittag--Leffler type functions
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subordination
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one-sided stable semigroup
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