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Article Dans Une Revue Systems and Control Letters Année : 2003

Dirichlet series and simultaneous observability : two problems solved by the same approach

Paola Loreti
  • Fonction : Auteur

Résumé

In a classical paper, Ingham gave a simple proof of an important theorem of Pólya on singular points of Dirichlet series under a uniform gap assumption on the exponents. Bernstein generalized Pólya's theorem by weakening this gap condition. We give a simpler proof of Bernstein's theorem by applying a recent generalization of Ingham's theorem. Furthermore, we also solve a simultaneous observability problem using this theory.

Dates et versions

hal-00084076 , version 1 (05-07-2006)

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Vilmos Komornik, Paola Loreti. Dirichlet series and simultaneous observability : two problems solved by the same approach. Systems and Control Letters, 2003, 48, num. 3-4, pp.221-227. ⟨10.1016/S0167-6911(02)00267-0⟩. ⟨hal-00084076⟩
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