• Title of article

    Landau’s necessary density conditions for LCA groups

  • Author/Authors

    Karlheinz Gr?chenig، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2008
  • Pages
    20
  • From page
    1831
  • To page
    1850
  • Abstract
    We derive necessary conditions for sampling and interpolation of bandlimited functions on a locally compact abelian group in line with the classical results of H. Landau for bandlimited functions on Rd. Our conditions are phrased as comparison principles involving a certain canonical lattice. © 2008 Elsevier Inc. All rights reserved
  • Keywords
    Beurling density , sampling , interpolation , Homogeneous approximation property , Locally compact abeliangroup
  • Journal title
    Journal of Functional Analysis
  • Serial Year
    2008
  • Journal title
    Journal of Functional Analysis
  • Record number

    839716