Blar i NTNU Open på forfatter "Kulikov, Aleksei"

Viser treff 1-4 av 4

    • Aleksei Fourier Interpolation and Contractive Inequalities 

      Kulikov, Aleksei (Doctoral theses at NTNU;2022:209, Doctoral thesis, 2022)

    • A contractive Hardy–Littlewood inequality 

      Kulikov, Aleksei (Journal article; Peer reviewed, 2021)

    • Fourier Interpolation and Time-Frequency Localization 

      Kulikov, Aleksei (Peer reviewed; Journal article, 2021)
      We prove that under very mild conditions for any interpolation formula f(x)=∑λ∈Λf(λ)aλ(x)+∑μ∈Mf^(μ)bμ(x) we have a lower bound for the counting functions nΛ(R1)+nM(R2)≥4R1R2−Clog2(4R1R2) which very closely matches recent ...

    • Gabor frames for rational functions 

      Belov, Yurii; Kulikov, Aleksei; Lyubarskii, Yurii (Peer reviewed; Journal article, 2022)
      We study the frame properties of the Gabor systems G(g;α,β):={e2πiβmxg(x−αn)}m,n∈Z. In particular, we prove that for Herglotz windows g such systems always form a frame for L2(R) if α,β>0, αβ≤1. For general rational ...