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.
@article{119372, author = {Claus M\"uller}, title = {Moment sequences and abstract Cauchy problems}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {44}, year = {2003}, pages = {121-135}, zbl = {1107.34338}, mrnumber = {2045850}, language = {en}, url = {http://dml.mathdoc.fr/item/119372} }
Müller, Claus. Moment sequences and abstract Cauchy problems. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) pp. 121-135. http://gdmltest.u-ga.fr/item/119372/
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