# Some applications of fractional calculus to operator semigroups and functional calculus

Banach Center Publications (2007)

- Volume: 75, Issue: 1, page 143-157
- ISSN: 0137-6934

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topJosé 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 -

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