On analytic semigroups and cosine functions in Banach spaces
Keyantuo, V. ; Vieten, P.
Studia Mathematica, Tome 129 (1998), p. 137-156 / Harvested from The Polish Digital Mathematics Library
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If A generates a bounded cosine function on a Banach space X then the negative square root B of A generates a holomorphic semigroup, and this semigroup is the conjugate potential transform of the cosine function. This connection is studied in detail, and it is used for a characterization of cosine function generators in terms of growth conditions on the semigroup generated by B. The characterization relies on new results on the inversion of the vector-valued conjugate potential transform.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:216495 
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Keyantuo, V.; Vieten, P. On analytic semigroups and cosine functions in Banach spaces. Studia Mathematica, Tome 129 (1998) pp. 137-156. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv129i2p137bwm/

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