A note on a formula for the fractional powers of infinitesimal generators of semigroups
Studia Mathematica, Tome 119 (1996) no. 3, p. 247.

Voir la notice de l'article dans European Digital Mathematics Library

If -A is the generator of an equibounded C 0 -semigroup and 0 < Re α < m (m integer), its fractional power A α can be described in terms of the semigroup, through a formula that is only valid if a certain function K α , m is nonzero. This paper is devoted to the study of the zeros of K α , m .
Classification : 47D06, 47A60
Mots-clés : generator of an equibounded -semigroup, fractional power
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     author = {Celso Martinez and Miguel Sanz},
     title = {A note on a formula for the fractional powers of infinitesimal generators of semigroups},
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Celso Martinez; Miguel Sanz. A note on a formula for the fractional powers of infinitesimal generators of semigroups. Studia Mathematica, Tome 119 (1996) no. 3, p. 247. https://geodesic-test.mathdoc.fr/item/STUMA_1996__119_3_216298/