The zero-removing property and Lagrange-type interpolation series Articles uri icon

publication date

  • December 2011

start page

  • 858

end page

  • 876


  • 8


  • 32

International Standard Serial Number (ISSN)

  • 0163-0563

Electronic International Standard Serial Number (EISSN)

  • 1532-2467


  • The classical Kramer sampling theorem, which provides a method for obtaining orthogonal sampling formulas, can be formulated in a more general nonorthogonal setting. In this setting, a challenging problem is to characterize the situations when the obtained nonorthogonal sampling formulas can be expressed as Lagrange-type interpolation series. In this article a necessary and sufficient condition is given in terms of the zero removing property. Roughly speaking, this property concerns the stability of the sampled functions on removing a finite number of their zeros.


  • analytic kramer kernels; lagrange-type interpolation series; zero-removing property