On Lagrange-Type Interpolation Series and Analytic Kramer Kernels Articles uri icon

publication date

  • March 2008

start page

  • 215

end page

  • 228


  • 3-4


  • 51

International Standard Serial Number (ISSN)

  • 1422-6383

Electronic International Standard Serial Number (EISSN)

  • 1420-9012


  • The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. A challenging problem is to characterize the situations when these sampling formulas can be written as Lagrange-type interpolation series. This article gives a necessary and sufficient condition to ensure that when the sampling formula is associated with an analytic Kramer kernel, then it can be expressed as a quasi Lagrange-type interpolation series; this latter form is a minor but significant modification of a Lagrange-type interpolation series. Finally, a link with the theory of de Branges spaces is established.