3 citations · 7 across the 6 of their papers we have counts for
9 papers
On Approximation Spaces and Greedy-type Bases
Pablo M. Berná, Hung Viet Chu, Eugenio Hernández
The purpose of this paper is to introduce -Chebyshev-greedy and -partially greedy approximation classes and to study their relation with -approximation spaces, where the l…
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…
Frames of exponentials and sub-multitiles in LCA groups
Davide Barbieri, Carlos Cabrelli, Eugenio Hernández +3
In this note we investigate the existence of frames of exponentials for in the setting of LCA groups. Our main result shows that sub-multitiling properties of $Ω\subset \w…
Calderón-type inequalities for affine frames
Davide Barbieri, Eugenio Hernández, Azita Mayeli
We prove sharp upper and lower bounds for generalized Calderón's sums associated to frames on LCA groups generated by affine actions of cocompact subgroup translations and general…
Tiling by lattices for locally compact abelian groups
Davide Barbieri, Eugenio Hernández, Azita Mayeli
For a locally compact abelian group a simple proof is given for the known fact that a bounded domain tiles with translations by a lattice if and only if the set of…