RT Journal Article
T1 The Kramer sampling theorem revisited
A1 García García, Antonio
A1 Hernández-Medina, M. A.
A1 Muñoz-Bouzo, María José
AB The 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.
PB Springer
SN 0167-8019
YR 2014
FD 2014-10-01
LK https://hdl.handle.net/10016/35961
UL https://hdl.handle.net/10016/35961
LA eng
NO This work has been supported by the grant MTM2009–08345 from the Spanish Ministerio de Ciencia e Innovación (MICNN).
DS e-Archivo
RD 1 sept. 2024