Geodesic
Holomorphic subordinated semigroups
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 3, pp. 457-466.

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If $(e^{-tA})_{t>0}$ is a strongly continuous and contractive semigroup on a complex Banach space $B$, then $-(-A)^\alpha $, $0\alpha 1$, generates a holomorphic semigroup on $B$. This was proved by K. Yosida in [7]. Using similar techniques, we present a class $H$ of Bernstein functions such that for all $f\in H$, the operator $-f(-A)$ generates a holomorphic semigroup.
Classification : 35B40, 35B65, 35K65, 47A60, 47D06
Keywords: holomorphic semigroup; Bernstein function 
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     title = {Holomorphic subordinated semigroups},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_2002__43_3_a4/}
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Saddi, Adel. Holomorphic subordinated semigroups. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 3, pp. 457-466. http://geodesic.mathdoc.fr/item/CMUC_2002__43_3_a4/