• Title/Summary/Keyword: finite rank perturbations

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SAMPLING THEOREMS ASSOCIATED WITH DIFFERENTIAL OPERATORS WITH FINITE RANK PERTURBATIONS

  • Annaby, Mahmoud H.;El-Haddad, Omar H.;Hassan, Hassan A.
    • Journal of the Korean Mathematical Society
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    • v.53 no.5
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    • pp.969-990
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    • 2016
  • We derive a sampling theorem associated with first order self-adjoint eigenvalue problem with a finite rank perturbation. The class of the sampled integral transforms is of finite Fourier type where the kernel has an additional perturbation.