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math.CA2021
Maximal operators on the infinite-dimensional torus
Dariusz Kosz, Javier Martínez Perales, Victoria Paternostro +2
We study maximal operators related to bases on the infinite-dimensional torus . {For the normalized Haar measure on it is known that $M^{\mathcal{…
math.CA2009
Extra Invariance of Shift-Invariant Spaces on LCA Groups
Magalí Anastasio, Carlos Cabrelli, Victoria Paternostro
Let G be an LCA group and K a closed subgroup of G. A closed subspace of L^2(G) is called K-invariant if it is invariant under translations by elements of K. Assume now that H is a…