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Approximate Carleman theorems and a Denjoy-Carleman maximum principle

By I. Chalender, L. Habsieger, J.R. Partington and T.J. Ransford

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]

Year: 2004
OAI identifier: oai:eprints.whiterose.ac.uk:760

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