A note on a formula for the fractional powers of infinitesimal generators of semigroups
Studia Mathematica, Tome 119 (1996) no. 3, pp. 247-254
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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 $K_{α,m}$.
@article{10_4064_sm_119_3_247_254,
author = {Celso Martinez and },
title = {A note on a formula for the fractional powers of infinitesimal generators of semigroups},
journal = {Studia Mathematica},
pages = {247--254},
publisher = {mathdoc},
volume = {119},
number = {3},
year = {1996},
doi = {10.4064/sm-119-3-247-254},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-119-3-247-254/}
}
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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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