%D 2011
%L upm11506
%V 32
%K Analytic Kramer kernels, Lagrange-type interpolation series, Zero-removing property
%N 8
%J Numerical Functional Analysis And Optimization
%A P.E. Fernàndez-Moncada
%A A.G. García
%A Miguel Ángel Hernández Medina
%I Taylor & Francis, Ltd.
%X 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.
%T The Zero-Removing Property and Lagrange-Type Interpolation Series
%P 858-876
%R 10.1080/01630563.2011.587076