2 citations · 2 across the 3 of their papers we have counts for
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Extra-invariance of group actions
C. Cabrelli, C. A. Mosquera, V. Paternostro
Given discrete groups we characterize -invariant spaces that are also invariant under . This will be done in terms of subspaces that we define using an appro…
Dynamical Sampling for Shift-preserving Operators
A. Aguilera, C. Cabrelli, D. Carbajal +1
In this note, we solve the dynamical sampling problem for a class of shift-preserving operators acting on a finitely generated shift-invariant space . We find conditi…
Spaces invariant under unitary representations of discrete groups
Davide Barbieri, Eugenio Hernández, Victoria Paternostro
We investigate the structure of subspaces of a Hilbert space that are invariant under unitary representations of a discrete group. We work with square integrable representations, a…
Noncommutative Shift-Invariant Spaces
Davide Barbieri, Eugenio Hernández, Victoria Paternostro
The structure of subspaces of a Hilbert space that are invariant under unitary representations of a discrete group is related to a notion of Hilbert modules endowed with inner prod…