Geodesic
Moment sequences and abstract Cauchy problems
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 1, pp. 121-135.

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We give a new characterization of the solvability of an abstract Cauchy problems in terms of moment sequences, using the resolvent operator at only one point.
Classification : 44A10, 44A60, 47D03, 47D06, 47N20
Keywords: abstract Cauchy problems; moment sequences 
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Müller, Claus. Moment sequences and abstract Cauchy problems. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 1, pp. 121-135. http://geodesic.mathdoc.fr/item/CMUC_2003__44_1_a9/