14 citations · 36 across the 11 of their papers we have counts for
14 papers
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…
Systems involving mean value formulas on trees
Alfredo Miranda, Carolina A. Mosquera, Julio D. Rossi
In this paper we study the Dirichlet problem for systems of mean value equations on a regular tree. We deal both with the directed case (the equations verified by the components of…
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 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},…
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…
Subspaces with extra invariance nearest to observed data
Carlos Cabrelli, Carolina A. Mosquera
Given an arbitrary finite set of data F= {f_1,..., f_m} in L2(Rd) we prove the existence and show how to construct a "small shift invariant space" that is "closest" to the data F o…
Existence, uniqueness and decay rates for evolution equations on trees
Leandro M. Del Pezzo, Carolina A. Mosquera, Julio D. Rossi
We study evolution equations governed by an averaging operator on a directed tree, showing existence and uniqueness of solutions. In addition we find conditions of the initial cond…
Linear combinations of frame generators in systems of translates
Carlos Cabrelli, Carolina A. Mosquera, Victoria Paternostro
A finitely generated shift invariant space is a closed subspace of that is generated by the integer translates of a finite number of functions. A set of frame gener…
Estimates for Nonlinear Harmonic Measures on Trees
Leandro M. Del Pezzo, Carolina A. Mosquera, Julio D. Rossi
In this paper we give some estimates for nonlinear harmonic measures on trees. In particular, we estimate in terms of the size of a set the value at the origin of the solution…
The unique continuation property for a nonlinear equation on trees
Leandro M. Del Pezzo, Carolina A. Mosquera, Julio D. Rossi
In this paper we study the game Laplacian on a tree, that is, her…