Browsing Institutt for matematiske fag by Author "Zlotnikov, Ilya"

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    • Completeness of certain exponential systems and zeros of lacunary polynomials 

      Kulikov, Aleksei; Ulanovskii, Alexander; Zlotnikov, Ilya (Journal article; Peer reviewed, 2023)
      Let Γ be a subset of {0, 1, 2, ...}. We show that if Γhas ‘gaps’ then the completeness and frame properties of the system {tk e2πint : n ∈ Z, k ∈ Γ} differ from those of the classical exponential systems. This phenomenon ...