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math.FA2019
Lebesgue-type inequalities in greedy approximation
Stephen Dilworth, Gustavo Garrigos, Eugenio Hernandez +2
We present new results regarding Lebesgue-type inequalities for the Weak Chebyshev Greedy Algorithm (WCGA) in uniformly smooth Banach spaces. We improve earlier bounds in Temlyakov…
eess.IV2019
Optimal translational-rotational invariant dictionaries for images
Davide Barbieri, Carlos Cabrelli, Eugenio Hernández +1
We provide the construction of a set of square matrices whose translates and rotates provide a Parseval frame that is optimal for approximating a given dataset of images. Our appro…
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},…