Noncommutative Shift-Invariant Spaces

Davide Barbieri, Eugenio Hernández, Victoria Paternostro

Group Riesz and Frame Sequences: The Bracket and the Gramian

Davide Barbieri, Eugenio Hernandez, Victoria Paternostro

Reproducing kernel Hilbert spaces of CR functions for the Euclidean Motion group

Davide Barbieri, Giovanna Citti

Regularity of minimal intrinsic graphs in 3 dimensional sub-Riemannian structures of step 2

Davide Barbieri, Giovanna Citti

Lattice sub-tilings and frames in LCA groups

Davide Barbieri, Eugenio Hernandez, Azita Mayeli

On Repetition Protocols and Power Control for Multiple Access Block-Fading Channels

Davide Barbieri, Daniela Tuninetti

Frames of exponentials and sub-multitiles in LCA groups

Davide Barbieri, Carlos Cabrelli, Eugenio Hernández +3

Riesz and frame systems generated by unitary actions of discrete groups

Davide Barbieri, Eugenio Hernández, Javier Parcet

A cortical-inspired geometry for contour perception and motion integration

Davide Barbieri, Giovanna Citti, Giacomo Cocci +1

Approximations of Sobolev norms in Carnot groups

Davide Barbieri

An uncertainty principle underlying the pinwheel structure in the primary visual cortex

Davide Barbieri, Giovanna Citti, Gonzalo Sanguinetti +1

Calderón-type inequalities for affine frames

Davide Barbieri, Eugenio Hernández, Azita Mayeli

The paper establishes sharp upper and lower bounds for generalized Calderón sums associated with affine frames on locally compact abelian groups, using metric space techniques and…

Coherent states of the Euclidean group and activation regions of primary visual cortex

Davide Barbieri, Giovanna Citti, Gonzalo Sanguinetti +1

How Uncertainty bounds the shape index of simple cells

Davide Barbieri, Giovanna Citti, Alessandro Sarti

Extra invariance of principal shift invariant spaces and the Zak transform

Davide Barbieri, Eugenio Hernandez, Carolina A. Mosquera

Geometry and dimensionality reduction of feature spaces in primary visual cortex

Davide Barbieri

The Zak transform and the structure of spaces invariant by the action of an LCA group

Davide Barbieri, Eugenio Hernández, Victoria Paternostro

Tiling by lattices for locally compact abelian groups

Davide Barbieri, Eugenio Hernández, Azita Mayeli

Cortical spatio-temporal dimensionality reduction for visual grouping

Giacomo Cocci, Davide Barbieri, Giovanna Citti +1

Bracket map for Heisenberg group and the characterization of cyclic subspaces

Davide Barbieri, Eugenio Hernandez, Azita Mayeli