On a Uniqueness Theorem of E. B. Vul

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We recall a uniqueness theorem of E. B. Vul pertaining to a version of the cosine transform originating in spectral theory. Then we point out an application to the Bernstein approximation problem with non-symmetric weights: a theorem of Volberg is proved by elementary means.

Original languageEnglish
Pages (from-to)235-248
Number of pages14
JournalConstructive Approximation
Issue number2
StatePublished - Apr 2021


  • Bernstein approximation problem
  • Completeness of polynomials
  • Cosine transform
  • Non-symmetric weights
  • Quasianalytic classes


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