Archiv der Mathematik

, Volume 83, Issue 1, pp 88–96

Approximate Carleman theorems and a Denjoy-Carleman maximum principle

Authors

    • I. G. D. UFR de MathématiquesUniversité Lyon 1
    • I. G. D. CNRS UMR 5028, UFR de MathématiquesUniversité Lyon 1
    • School of MathematicsUniversity of Leeds
    • Département de mathématiques et de statistiqueUniversité Laval
Original paper

DOI: 10.1007/s00013-004-0608-z

Cite this article as:
Chalendar, I., Habsieger, L., Partington, J. et al. Arch. Math. (2004) 83: 88. doi:10.1007/s00013-004-0608-z
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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].

Mathematics Subject Classification (2000):

26E1044A60.

Copyright information

© Birkhäuser-Verlag 2004