RT Journal Article
T1 Finite Sampling in Multiple Generated U-Invariant Subspaces
A1 Fernández Morales, Héctor Raúl
A1 García García, Antonio
A1 Muñoz Bouzo, Maria Jose
A1 Ortega García, Alejandro
AB The relevance in a sampling theory of U-invariant subspaces of a Hilbert space H, where U denotes a unitary operator on H, is nowadays a recognized fact. Indeed, shift-invariant subspaces of L-2(R) become a particular example; periodic extensions of finite signals also provide a remarkable example. As a consequence, the availability of an abstract U-sampling theory becomes a useful tool to handle these problems. In this paper, we derive a sampling theory for finite dimensional multiple generated U-invariant subspaces of a Hilbert space H. As the involved samples are identified as frame coefficients in a suitable euclidean space, the relevant mathematical technique is that of the finite frame theory. Since finite frames are nothing but spanning sets of vectors, the used technique naturally meets matrix analysis.
PB IEEE
SN 0018-9448
YR 2016
FD 2016-04
LK https://hdl.handle.net/10016/32499
UL https://hdl.handle.net/10016/32499
LA eng
DS e-Archivo
RD 1 sept. 2024