14 citations · 36 across the 11 of their papers we have counts for
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Fourier decay of self-similar measures on the complex plane
Carolina A. Mosquera, Andrea Olivo
We prove that the Fourier transform of self-similar measures on the complex plane has fast decay outside of a very sparse set of frequencies, with quantitative estimates, extending…
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…
Self-improving Poincaré-Sobolev type functionals in product spaces
Maria Eugenia Cejas, Carolina Mosquera, Carlos Pérez +1
In this paper we give a geometric condition which ensures that -Poincaré-Sobolev inequalities are implied from generalized -Poincaré inequalities related to nor…
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},…
Self-similar measures: asymptotic bounds for the dimension and Fourier decay of smooth images
Carolina A. Mosquera, Pablo Shmerkin
R. Kaufman and M. Tsujii proved that the Fourier transform of self-similar measures has a power decay outside of a sparse set of frequencies. We present a version of this result fo…
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…
An Approximation Problem in Multiplicatively Invariant Spaces
Carlos Cabrelli, Carolina A. Mosquera, Victoria Paternostro
Let be Hilbert space and a -finite measure space. Multiplicatively invariant (MI) spaces are closed subspaces of that are invariant…