@article{upm11506, year = {2011}, pages = {858--876}, doi = {10.1080/01630563.2011.587076}, journal = {Numerical Functional Analysis And Optimization}, title = {The Zero-Removing Property and Lagrange-Type Interpolation Series}, publisher = {Taylor \& Francis, Ltd.}, volume = {32}, number = {8}, author = {Fern{\`a}ndez-Moncada, P. E. and Garc{\'i}a, A. G. and Hern{\'a}ndez Medina, Miguel {\'A}ngel}, abstract = {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.}, keywords = {Analytic Kramer kernels, Lagrange-type interpolation series, Zero-removing property}, issn = {0163-0563}, url = {http://www.tandfonline.com/doi/abs/10.1080/01630563.2011.587076} }