Davide Barbieri

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All published works

Action	Title	Year	Authors
+ PDF Chat	Is Stochastic Gradient Descent Effective? A PDE Perspective on Machine Learning processes	2025	Davide Barbieri Matteo Bonforte Peio Ibarrondo
+	Learning optimal smooth invariant subspaces for data approximation	2024	Davide Barbieri Carlos Cabrelli Eugenio Hernández Ursula Molter
+	Learning optimal smooth invariant subspaces for data approximation	2023	Davide Barbieri Eugenio Hernández Carlos Cabrelli Ursula Molter
+ PDF Chat	Reconstructing Group Wavelet Transform From Feature Maps With a Reproducing Kernel Iteration	2022	Davide Barbieri
+ PDF Chat	The structure of group preserving operators	2021	Davide Barbieri Carlos Cabrelli Diana Carbajal Eugenio Hernández Ursula Molter
+	Reconstructing group wavelet transform from feature maps with a reproducing kernel iteration	2021	Davide Barbieri
+	The structure of group preserving operators.	2020	Davide Barbieri Carlos Cabrelli Diana Carbajal Eugenio Hernández Ursula Molter
+	Approximation by group invariant subspaces	2020	Davide Barbieri Carlos Cabrelli Eugenio Hernández Ursula Molter
+	Spaces invariant under unitary representations of discrete groups	2020	Davide Barbieri Eugenio Hernández Victoria Paternostro
+ PDF Chat	Data Approximation with Time-Frequency Invariant Systems	2020	Davide Barbieri Carlos Cabrelli Eugenio Hernández Ursula Molter
+	The structure of group preserving operators	2020	Davide Barbieri Carlos Cabrelli Diana Carbajal Eugenio Hernández Ursula Molter
+	Data approximation with time-frequency invariant systems	2020	Davide Barbieri C. Cabrelli E. Hernández U. Molter
+	Calderón-type inequalities for affine frames	2019	Davide Barbieri Eugenio Hernández Azita Mayeli
+ PDF Chat	Optimal translational-rotational invariant dictionaries for images	2019	Davide Barbieri Carlos Cabrelli Eugenio Hernández Ursula Molter
+	Optimal translational-rotational invariant dictionaries for images	2019	Davide Barbieri Carlos Cabrelli Eugenio Hernández Ursula Molter
+	Approximation by group invariant subspaces	2019	Davide Barbieri Carlos Cabrelli Eugenio Hernández Ursula Molter
+	Extra invariance of principal shift invariant spaces and the Zak transform	2019	Davide Barbieri Eugenio Hernández Carolina A. Mosquera
+	Optimal translational-rotational invariant dictionaries for images	2019	Davide Barbieri Carlos Cabrelli Eugenio Hernández Ursula Molter
+	Approximation by group invariant subspaces	2019	Davide Barbieri Carlos Cabrelli Eugenio Hernández Ursula Molter
+	Extra invariance of principal shift invariant spaces and the Zak transform	2019	Davide Barbieri Eugenio Hernández Carolina A. Mosquera
+	Invariant spaces under unitary representations of discrete groups	2018	Davide Barbieri Eugenio Hernández Victoria Paternostro
+	Spaces invariant under unitary representations of discrete groups	2018	Davide Barbieri Eugenio Hernández Victoria Paternostro
+	Spaces invariant under unitary representations of discrete groups	2018	Davide Barbieri Eugenio Hernández Victoria Paternostro
+ PDF Chat	Frames of exponentials and sub-multitiles in LCA groups	2017	Davide Barbieri Carlos Cabrelli Eugenio Hernández Peter M. Luthy Ursula Molter Carolina A. Mosquera
+	Frames of exponentials and sub-multitiles in LCA groups	2017	Davide Barbieri Carlos Cabrelli Eugenio Hernández Peter M. Luthy Ursula Molter Carolina A. Mosquera
+ PDF Chat	Group Riesz and frame sequences: the Bracket and the Gramian	2017	Davide Barbieri Eugenio Hernández Victoria Paternostro
+	Calder\'on-type inequalities for affine frames	2017	Davide Barbieri Eugenio Hernández Azita Mayeli
+	Frames of exponentials and sub-multitiles in LCA groups	2017	Davide Barbieri Carlos Cabrelli Eugenio Hernández Peter Lüthy Ursula Molter Carolina A. Mosquera
+	Calderón-type inequalities for affine frames	2017	Davide Barbieri Eugenio Hernández Azita Mayeli
+ PDF Chat	Lattice sub-tilings and frames in LCA groups	2016	Davide Barbieri Eugenio Hernández Azita Mayeli
+	Noncommutative Fourier Analysis on Invariant Subspaces: Frames of Unitary Orbits and Hilbert Modules over Group von Neumann Algebras	2016	Davide Barbieri
+	Group Riesz and Frame Sequences: The Bracket and the Gramian	2016	Davide Barbieri Eugenio Hernández Victoria Paternostro
+	Lattice sub-tilings and frames in LCA groups	2016	Davide Barbieri Eugenio Hernández Azita Mayeli
+	Group Riesz and Frame Sequences: The Bracket and the Gramian	2016	Davide Barbieri Eugenio Hernández Victoria Paternostro
+	Lattice sub-tilings and frames in LCA groups	2016	Davide Barbieri Eugenio Hernández Azita Mayeli
+ PDF Chat	Geometry and dimensionality reduction of feature spaces in primary visual cortex	2015	Davide Barbieri
+	Noncommutative Shift-Invariant Spaces	2015	Davide Barbieri Eugenio Hernández Victoria Paternostro
+ PDF Chat	The Zak transform and the structure of spaces invariant by the action of an LCA group	2015	Davide Barbieri Eugenio Hernández Victoria Paternostro
+ PDF Chat	Cortical Spatiotemporal Dimensionality Reduction for Visual Grouping	2015	Giacomo Cocci Davide Barbieri Giovanna Citti Alessandro Sarti
+	Tiling by lattices for locally compact abelian groups	2015	Davide Barbieri Eugenio Hernández Azita Mayeli
+	Noncommutative Shift-Invariant Spaces	2015	Davide Barbieri Eugenio Hernández Victoria Paternostro
+	The Zak transform and the structure of spaces invariant by the action of an LCA group	2014	Davide Barbieri Eugenio Hernández Victoria Paternostro
+	Riesz and frame systems generated by unitary actions of discrete groups	2014	Davide Barbieri Eugenio Hernández Javier Parcet
+ PDF Chat	Reproducing kernel Hilbert spaces of CR functions for the Euclidean motion group	2014	Davide Barbieri Giovanna Citti
+	Cortical spatio-temporal dimensionality reduction for visual grouping	2014	Giacomo Cocci Davide Barbieri Giovanna Citti Alessandro Sarti
+	Riesz and frame systems generated by unitary actions of discrete groups	2014	Davide Barbieri Eugenio Hernández Javier Parcet
+ PDF Chat	A Cortical-Inspired Geometry for Contour Perception and Motion Integration	2014	Davide Barbieri Giovanna Citti Giacomo Cocci Alessandro Sarti
+ PDF Chat	How Uncertainty Bounds the Shape Index of Simple Cells	2014	Davide Barbieri Giovanna Citti Augusto Sarti
+	Cortical spatio-temporal dimensionality reduction for visual grouping	2014	Giacomo Cocci Davide Barbieri Giovanna Citti Alessandro Sarti
+	Riesz and frame systems generated by unitary actions of discrete groups	2014	Davide Barbieri Eugenio Hernández Javier Parcet
+	The Zak transform and the structure of spaces invariant by the action of an LCA group	2014	Davide Barbieri Eugenio Hernández Victoria Paternostro
+	Bracket map for the Heisenberg group and the characterization of cyclic subspaces	2013	Davide Barbieri Eugenio Hernández Azita Mayeli
+	Bracket map for Heisenberg group and the characterization of cyclic subspaces	2013	Davide Barbieri Eugenio Hernández Azita Mayeli
+	How Uncertainty bounds the shape index of simple cells	2013	Davide Barbieri Giovanna Citti Alessandro Sarti
+	Reproducing kernel Hilbert spaces of CR functions for the Euclidean Motion group	2013	Davide Barbieri Giovanna Citti
+	Coherent states of the Euclidean Motion group and CR regularity	2013	Davide Barbieri Giovanna Citti
+	How Uncertainty bounds the shape index of simple cells	2013	Davide Barbieri Giovanna Citti Alessandro Sarti
+	Reproducing kernel Hilbert spaces of CR functions for the Euclidean Motion group	2013	Davide Barbieri Giovanna Citti
+	A cortical-inspired geometry for contour perception and motion integration	2013	Davide Barbieri Giovanna Citti Giacomo Cocci Alessandro Sarti
+	Bracket map for Heisenberg group and the characterization of cyclic subspaces	2013	Davide Barbieri Eugenio Hernández Azita Mayeli
+ PDF Chat	APPROXIMATIONS OF SOBOLEV NORMS IN CARNOT GROUPS	2011	Davide Barbieri
+	Regularity of minimal intrinsic graphs in 3-dimensional sub-Riemannian structures of step 2	2011	Davide Barbieri Giovanna Citti
+ PDF Chat	On Repetition Protocols and Power Control for Multiple Access Block-Fading Channels	2011	Davide Barbieri Daniela Tuninetti
+	Coherent states of the Euclidean group and activation regions of primary visual cortex	2011	Davide Barbieri Giovanna Citti Gonzalo Sanguinetti Alessandro Sarti
+	On Repetition Protocols and Power Control for Multiple Access Block-Fading Channels	2010	Davide Barbieri Daniela Tuninetti
+	An uncertainty principle underlying the pinwheel structure in the primary visual cortex	2010	Davide Barbieri Giovanna Citti Gonzalo Sanguinetti Alessandro Sarti
+	An uncertainty principle underlying the pinwheel structure in the primary visual cortex	2010	Davide Barbieri Giovanna Citti Gonzalo Sanguinetti Alessandro Sarti
+	On Repetition Protocols and Power Control for Multiple Access Block-Fading Channels	2010	Davide Barbieri Daniela Tuninetti
+	Approximation des normes de Sobolev dans les groupes de Carnot	2008	Davide Barbieri
+	Long-range correlations in time series generated by time-fractional diffusion: A numerical study	2005	Davide Barbieri A. Vivoli

Common Coauthors

Coauthor	Papers Together
Eugenio Hernández	42
Giovanna Citti	16
Carlos Cabrelli	15
Ursula Molter	15
Victoria Paternostro	12
Azita Mayeli	10
Alessandro Sarti	10
Giacomo Cocci	5
Carolina A. Mosquera	5
Gonzalo Sanguinetti	3
Daniela Tuninetti	3
Javier Parcet	3
Diana Carbajal	3
Peter M. Luthy	2
Augusto Sarti	1
Matteo Bonforte	1
E. Hernández	1
U. Molter	1
C. Cabrelli	1
A. Vivoli	1
Peter Lüthy	1
Peio Ibarrondo	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Shift-invariant spaces on LCA groups	2009	Carlos Cabrelli Victoria Paternostro	20
+	The Structure of Shift-Invariant Subspaces of L2(Rn)	2000	Marcin Bownik	18
+ PDF Chat	Cyclic subspaces for unitary representations of LCA groups; generalized Zak transform	2010	Eugenio Hernández Hrvoje Šikić Guido Weiss Edward N. Wilson	15
+	A Course in Abstract Harmonic Analysis	2015	Gerald B. Folland	14
+	The Structure of Translation-Invariant Spaces on Locally Compact Abelian Groups	2015	Marcin Bownik Kenneth A. Ross	14
+ PDF Chat	Approximation from shift-invariant subspaces of 𝐿₂(𝐑^{𝐝})	1994	Carl de Boor Ronald A. DeVore Amos Ron	13
+	Riesz and frame systems generated by unitary actions of discrete groups	2014	Davide Barbieri Eugenio Hernández Javier Parcet	13
+ PDF Chat	An Introduction to Frames and Riesz Bases	2005	Eric Weber Ole Christensen	12
+	Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )	1994	Carl de Boor Ronald A. DeVore Amos Ron	11
+	Lectures on Invariant Subspaces.	1968	Irving Glicksberg Henry Helson	11
+ PDF Chat	Frames and Stable Bases for Shift-Invariant Subspaces of L<sub>2</sub>(ℝ<sup>d</sup>)	1995	Amos Ron Zuowei Shen	10
+	The Structure of Finitely Generated Shift-Invariant Spaces in L2(Rd)	1994	C. Deboor Ronald DeVore A. Ron	9
+ PDF Chat	Existence of Borel transversals in groups	1968	Jacob J. Feldman Frederick Greenleaf	9
+	Notes on non-commutative integration	1974	Edward Nelson	8
+ PDF Chat	The Zak transform and the structure of spaces invariant by the action of an LCA group	2015	Davide Barbieri Eugenio Hernández Victoria Paternostro	8
+	Characterization of Shift-Invariant Spaces on a Class of Nilpotent Lie Groups with Applications	2014	Bradley Currey Azita Mayeli Vignon Oussa	7
+	Optimal shift invariant spaces and their Parseval frame generators	2007	Akram Aldroubi Carlos Cabrelli Douglas P. Hardin Ursula Molter	7
+	Classical Harmonic Analysis and Locally Compact Groups	2000	Hans Reiter Jan D Stegeman	6
+	Fourier Analysis on Groups	2006	Walter Rudin L. Bers R. Courant J. J. Stoker Dagmar Renate Henney	6
+	A Course in Operator Theory	1999	John B. Conway	6
+	Gabor Schauder bases and the Balian-Low theorem	2006	Christopher Heil Alexander M. Powell	6
+ PDF Chat	Smooth Fourier multipliers on group von Neumann algebras	2014	Marius Junge Tao Mei Javier Parcet	6
+	Multiresolution analysis frames with applications	1993	John J. Benedetto S. Li	6
+ PDF Chat	𝐿_{𝑝} Fourier transforms on locally compact unimodular groups	1958	Ray A. Kunze	6
+	The Theory of Multiresolution Analysis Frames and Applications to Filter Banks	1998	John J. Benedetto Shidong Li	5
+ PDF Chat	Group Invariant Scattering	2012	Stéphane Mallat	5
+	Commuting self-adjoint partial differential operators and a group theoretic problem	1974	Bent Fuglede	5
+	Abstract Harmonic Analysis of Continuous Wavelet Transforms	2005	Hartmut Führ	5
+	Approximation by group invariant subspaces	2020	Davide Barbieri Carlos Cabrelli Eugenio Hernández Ursula Molter	5
+ PDF Chat	Group Riesz and frame sequences: the Bracket and the Gramian	2017	Davide Barbieri Eugenio Hernández Victoria Paternostro	5
+	Spectral theory of commuting self-adjoint partial differential operators	1987	Steen Pedersen	5
+	Gabor frames for L2 and related spaces	2021	John J. Benedetto David F. Walnut	5
+	A model of natural image edge co-occurrence in the rototranslation group	2010	G. Sanguinetti Giovanna Citti Augusto Sarti	4
+ PDF Chat	Coverage, continuity, and visual cortical architecture	2011	Wolfgang W. Keil Fred Wolf	4
+	Lectures on Invariant Subspaces	1964		4
+	The structure of shift invariant spaces on a locally compact abelian group	2007	Rajab Ali Kamyabi Gol Reihaneh Raisi Tousi	4
+ PDF Chat	Free Topological Groups	1961	B. R. Gelbaum	4
+	Representations of nilpotent Lie groups and their applications. Part I: Basic theory and examples	1990	Frederick Greenleaf Lawrence Corwin	4
+ PDF Chat	Multiresolution approximations and wavelet orthonormal bases of 𝐿²(𝑅)	1989	Stéphane Mallat	4
+	L'integration dans les groupes topologiques et ses applications	1951	André Weil	4
+	Kac Algebras and Duality of Locally Compact Groups	1992	Michel Enock Jean-Marie Schwartz	4
+	Multi-tiling sets, Riesz bases, and sampling near the critical density in LCA groups	2015	Elona Agora Jorge Antezana Carlos Cabrelli	4
+	The uncertainty principle: A mathematical survey	1997	Gerald B. Folland Alladi Sitaram	4
+ PDF Chat	Continuous and Discrete Wavelet Transforms	1989	Christopher Heil David F. Walnut	4
+	Theory of Operator Algebras II	2003	Masamichi Takesaki	4
+	Transformation Groups and C ∗ -algebras	1965	Edward G. Effros	4
+ PDF Chat	A unified characterization of reproducing systems generated by a finite family, II	2002	Eugenio Hernández Demetrio Labate Guido Weiss	4
+ PDF Chat	A Course in Functional Analysis.	1986	T. W. Gamelin John B. Conway	4
+ PDF Chat	The Fuglede spectral conjecture holds for convex planar domains	2003	Alex Iosevich Nets Hawk Katz Terence Tao	3
+	Asymptotic properties of unitary representations	1979	Roger Howe Calvin C. Moore	3