Approximate Carleman theorems and a Denjoy-Carleman maximum principle
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- Chalendar, I., Habsieger, L., Partington, J. et al. Arch. Math. (2004) 83: 88. doi:10.1007/s00013-004-0608-z
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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 .