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math.CA2019
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},…
math.CA2017
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…