A note on a formula for the fractional powers of infinitesimal generators of semigroups
Studia Mathematica, Tome 119 (1996) no. 3, pp. 247-254

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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 $K_{α,m}$.
DOI : 10.4064/sm-119-3-247-254

Celso Martinez 1 ;  1

1
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Celso Martinez;  . A note on a formula for the fractional powers of infinitesimal generators of semigroups. Studia Mathematica, Tome 119 (1996) no. 3, pp. 247-254. doi: 10.4064/sm-119-3-247-254

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