A note on a formula for the fractional powers of infinitesimal generators of semigroups
Martinez, Celso ; Sanz, Miguel
Studia Mathematica, Tome 119 (1996), p. 247-254 / Harvested from The Polish Digital Mathematics Library
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If -A is the generator of an equibounded C0-semigroup and 0 < Re α < m (m integer), its fractional power Aα can be described in terms of the semigroup, through a formula that is only valid if a certain function Kα,m is nonzero. This paper is devoted to the study of the zeros of Kα,m.

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:216298 
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Martinez, Celso; Sanz, Miguel. A note on a formula for the fractional powers of infinitesimal generators of semigroups. Studia Mathematica, Tome 119 (1996) pp. 247-254. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv119i3p247bwm/

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