On Lagrange-type interpolation series and analytic Kramer kernels

W Everitt, AG Garcia, MA Hernandez-Medina

Research output: Contribution to journalArticle

15 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)215-228
Number of pages14
JournalResults in Mathematics
Issue number3-4
Publication statusPublished - 1 Jan 2008


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