Approximate Carleman theorems and a Denjoy-Carleman maximum principle

Abstract

We give an extension of the Denjoy-Carleman theorem, which leads to a generalization of Carleman's theorem on the unique determination of probability measures by their moments. We also give complex versions of Carleman's theorem extending Theorem 4.1 of [2]

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    This paper was published in White Rose Research Online.

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