Some applications of fractional calculus to operator semigroups and functional calculus
José E. Galé
Banach Center Publications, Tome 75 (2007), p. 143-157 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:282442 
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     title = {Some applications of fractional calculus to operator semigroups and functional calculus},
     journal = {Banach Center Publications},
     volume = {75},
     year = {2007},
     pages = {143-157},
     zbl = {1116.47017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc75-0-9}
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José E. Galé. Some applications of fractional calculus to operator semigroups and functional calculus. Banach Center Publications, Tome 75 (2007) pp. 143-157. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc75-0-9/