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
Mots-clés : generator of an equibounded -semigroup, fractional power
@article{STUMA_1996__119_3_216298, author = {Celso Martinez and Miguel Sanz}, title = {A note on a formula for the fractional powers of infinitesimal generators of semigroups}, journal = {Studia Mathematica}, pages = {247}, publisher = {mathdoc}, volume = {119}, number = {3}, year = {1996}, zbl = {0857.47009}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/STUMA_1996__119_3_216298/} }
TY - JOUR AU - Celso Martinez AU - Miguel Sanz TI - A note on a formula for the fractional powers of infinitesimal generators of semigroups JO - Studia Mathematica PY - 1996 SP - 247 VL - 119 IS - 3 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/STUMA_1996__119_3_216298/ LA - en ID - STUMA_1996__119_3_216298 ER -
%0 Journal Article %A Celso Martinez %A Miguel Sanz %T A note on a formula for the fractional powers of infinitesimal generators of semigroups %J Studia Mathematica %D 1996 %P 247 %V 119 %N 3 %I mathdoc %U https://geodesic-test.mathdoc.fr/item/STUMA_1996__119_3_216298/ %G en %F STUMA_1996__119_3_216298
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/