4 papers
Some non-standard biparametric Poincaré type inequalities through harmonic analysis
María Eugenia Cejas, Carolina Mosquera, Carlos Pérez +1
We show some non-standard Poincaré type estimates in the biparametric setting with appropriate weights. We will derive these results using variants from classical estimates exploit…
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…
Extra invariance of principal shift invariant spaces and the Zak transform
Davide Barbieri, Eugenio Hernandez, Carolina A. Mosquera
We prove a necessary and sufficient condition for a principal shift invariant space of to be invariant under translations by the subgroup $\frac{1}{N} \mathbb{Z},…
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…