Memorias de investigación
Research Publications in journals:
Generalized sampling: from shift-invariant to U-invariant spaces
Year:2015
Research Areas
  • Mathematics
Information
Abstract
The aim of this article is to derive a sampling theory in U -invariant subspaces of a separable Hilbert space H where U denotes a unitary operator defined on H.Tothis end, we use some special dual frames for L2(0, 1), and the fact that any U -invariant subspace with stable generator is the image of L2(0, 1) by means of a bounded invert-ible operator. The used mathematical technique mimics some previous sampling work for shift-invariant subspaces of L2(R). Thus, sampling frame expansions in U -invariant spaces are obtained. In order to generalize convolution systems and deal with the time-jitter error in this new setting we consider a continuous group of unitary operators which includes the operator U .
International
Si
JCR
Si
Title
Analysis And Applications
ISBN
0219-5305
Impact factor JCR
1,5
Impact info
Volume
13
Journal number
3
From page
303
To page
329
Month
SIN MES
Ranking
Participants
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Grupo de Sistemas Dinámicos, Aprendizaje y Control (SISDAC)
  • Departamento: Matemática Aplicada a Las Tecnologías de la Información y Las Comunicaciones