RT Journal Article
T1 Modeling Sampling in Tensor Products of Unitary Invariant Subspaces
A1 García García, Antonio
A1 Ibort Latre, Luis Alberto
A1 Muñoz-Bouzo, María José
AB The use of unitary invariant subspaces of a Hilbert space H is nowadays a recognized fact in the treatment of sampling problems. Indeed, shift-invariant subspaces of L-2( R) and also periodic extensions of finite signals are remarkable examples where this occurs. As a consequence, the availability of an abstract unitary sampling theory becomes a useful tool to handle these problems. In this paper we derive a sampling theory for tensor products of unitary invariant subspaces. This allows merging the cases of finitely/infinitely generated unitary invariant subspaces formerly studied in the mathematical literature; it also allows introducing the several variables case. As the involved samples are identified as frame coefficients in suitable tensor product spaces, the relevant mathematical technique is that of frame theory, involving both finite/infinite dimensional cases.
PB Hindawi
SN 2314-8888
YR 2016
FD 2016-10-01
LK https://hdl.handle.net/10016/38784
UL https://hdl.handle.net/10016/38784
LA eng
NO This work has been supported by the Grant MTM2014-54692-P from the Spanish Ministerio de Economía y Competitividad (MINECO).
DS e-Archivo
RD 1 sept. 2024