García García, AntonioHernández-Medina, M. A.Muñoz-Bouzo, María José2022-11-032022-11-032014-10-01Acta Applicandae Mathematicae, (2014), 133(1), pp.: 87–111.0167-8019https://hdl.handle.net/10016/35961The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. Besides, it has been the cornerstone for a significant mathematical literature on the topic of sampling theorems associated with differential and difference problems. In this work we provide, in an unified way, new and old generalizations of this result corresponding to various different settings; all these generalizations are illustrated with examples. All the different situations along the paper share a basic approach: the functions to be sampled are obtaining by duality in a separable Hilbert space through an -valued kernel K defined on an appropriate domain.eng© Springer Science+Business Media Dordrecht 2013Sampling formulasKramer kernelsReproducing kernel Hilbert spacesLagrange-type interpolation seriesZero-removing propertySemi-inner productsReproducing kernel Banach spacesReproducing distributionsresearch articleMatemáticashttps://doi.org/10.1007/s10440-013-9860-1open access871111ACTA APPLICANDAE MATHEMATICAE133AR/0000015645