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Languages: English
Types: Article
Subjects:

Classified by OpenAIRE into

arxiv: Mathematics::Classical Analysis and ODEs, Mathematics::Complex Variables, Mathematics::Analysis of PDEs, Mathematics::Optimization and Control, Mathematics::Spectral Theory
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].
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] R. P. Boas. Entire Functions. Academic Press, New York, 1954.
    • [2] I. Chalendar, K. Kellay, and T. Ransford. Binomial sums, moments and invariant subspaces. Israel J. Math., 115:303-320, 2000.
    • [3] P. Koosis. The logarithmic integral I. Cambridge University Press, Cambridge, 1988.
    • [4] J. Mashreghi and T. Ransford. Binomial sums and functions of exponential type. Preprint.
    • [5] W. Rudin. Functional Analysis. McGraw-Hill, Inc., New York, 1991. Second edition.
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