9 citations · 11 across the 10 of their papers we have counts for
13 papers
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…
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…
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},…
Embeddings and Lebesgue-type inequalities for the greedy algorithm in Banach spaces
P. M. Berná, O. Blasco, G. Garrigós +2
We obtain Lebesgue-type inequalities for the greedy algorithm for arbitrary complete seminormalized biorthogonal systems in Banach spaces. The bounds are given only in terms of the…
Group Riesz and Frame Sequences: The Bracket and the Gramian
Davide Barbieri, Eugenio Hernandez, Victoria Paternostro
Given a discrete group and a unitary representation on a Hilbert space , we prove that the notions of operator Bracket map and Gramian coincide on a dense set of $\mat…
Lattice sub-tilings and frames in LCA groups
Davide Barbieri, Eugenio Hernandez, Azita Mayeli
Given a lattice in a locally compact abelian group and a measurable subset with finite and positive measure, then the set of characters associated to the dual lattice f…