Some applications of fractional calculus to operator semigroups and functional calculus

José E. Galé. "Some applications of fractional calculus to operator semigroups and functional calculus." Banach Center Publications 75.1 (2007): 143-157. <http://eudml.org/doc/282442>.

@article{JoséE2007,
abstract = {We survey some recent results on functional calculus for generators of holomorphic semigroups, which have been obtained using versions of fractional derivation of Riemann-Liouville or Weyl type. Such a calculus allows us to give tight estimates even in concrete L¹ examples.},
author = {José E. Galé},
journal = {Banach Center Publications},
keywords = {holomorphic semigroup; generator; functional calculus; Banach algebra; fractional calculus; Riemann-Liouville type fractional derivation},
language = {eng},
number = {1},
pages = {143-157},
title = {Some applications of fractional calculus to operator semigroups and functional calculus},
url = {http://eudml.org/doc/282442},
volume = {75},
year = {2007},
}

TY - JOUR
AU - José E. Galé
TI - Some applications of fractional calculus to operator semigroups and functional calculus
JO - Banach Center Publications
PY - 2007
VL - 75
IS - 1
SP - 143
EP - 157
AB - We survey some recent results on functional calculus for generators of holomorphic semigroups, which have been obtained using versions of fractional derivation of Riemann-Liouville or Weyl type. Such a calculus allows us to give tight estimates even in concrete L¹ examples.
LA - eng
KW - holomorphic semigroup; generator; functional calculus; Banach algebra; fractional calculus; Riemann-Liouville type fractional derivation
UR - http://eudml.org/doc/282442
ER -