Geodesic
On analytic semigroups and cosine functions in Banach spaces
Studia Mathematica, Tome 129 (1998) no. 2, pp. 137-156 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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. 
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     title = {On analytic semigroups and cosine functions in {Banach} spaces},
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V. Keyantuo;  . On analytic semigroups and cosine functions in Banach spaces. Studia Mathematica, Tome 129 (1998) no. 2, pp. 137-156. doi: 10.4064/sm-129-2-137-156

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