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Approximation by group invariant subspaces
Davide Barbieri, Carlos Cabrelli, Eugenio Hernández +1
In this article we study the structure of -invariant spaces of . Here is a second countable LCA group. The invariance is with respect to the action of , a…
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…
Bracket map for Heisenberg group and the characterization of cyclic subspaces
Davide Barbieri, Eugenio Hernandez, Azita Mayeli
The bracket map was originally considered for locally compact abelian groups. In this work we extend the study of bracket maps to the noncommutative setting, providing characteriza…