Archiv der Mathematik

, Volume 83, Issue 1, pp 88–96

Approximate Carleman theorems and a Denjoy-Carleman maximum principle

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

Authors and Affiliations

  1. 1.I. G. D. UFR de MathématiquesUniversité Lyon 1Villeurbanne CedexFrance
  2. 2.I. G. D. CNRS UMR 5028, UFR de MathématiquesUniversité Lyon 1Villeurbanne CedexFrance
  3. 3.School of MathematicsUniversity of LeedsLeedsUnited Kingdom
  4. 4.Département de mathématiques et de statistiqueUniversité LavalQuébec (QC)Canada