9 citations · 27 across the 11 of their papers we have counts for
13 papers
Calderón-Zygmund theory on some Lie groups of exponential growth
Filippo De Mari, Matteo Levi, Matteo Monti +1
Let , where is a stratified Lie group and acts on via automorphic dilations. We prove that the group has the Calderón-Zygmund property…
Horocyclic harmonic Bergman spaces on homogeneous trees
Filippo De Mari, Matteo Monti, Elena Rizzo
The main focus of this contribution is on the harmonic Bergman spaces on the -homogeneous tree endowed with a family of measures that…
Harmonic Bergman projectors on homogeneous trees
Filippo De Mari, Matteo Monti, Maria Vallarino
In this paper we investigate some properties of the harmonic Bergman spaces on a -homogeneous tree, where , , and is a finite meas…
Continuous Wavelet Frames on the Sphere: The Group-Theoretic Approach Revisited
S. Dahlke, F. De Mari, E. De Vito +5
In \cite{AV99}, Antoine and Vandergheynst propose a group-theoretic approach to continuous wavelet frames on the sphere. The frame is constructed from a single so-called admissible…
Unitarization of the Horocyclic Radon Transform on Homogeneous Trees
Francesca Bartolucci, Filippo De Mari, Matteo Monti
Following previous work in the continuous setup, we construct the unitarization of the horocyclic Radon transform on a homogeneous tree X and we show that it intertwines the quasi…
Recent Progress in Shearlet Theory: Systematic Construction of Shearlet Dilation Groups, Characterization of Wavefront Sets, and New Embeddings
Giovanni S. Alberti, Stephan Dahlke, Filippo De Mari +2
The class of generalized shearlet dilation groups has recently been developed to allow the unified treatment of various shearlet groups and associated shearlet transforms that had…
Continuous and discrete frames generated by the evolution flow of the Schrödinger equation
Giovanni S. Alberti, Stephan Dahlke, Filippo De Mari +2
We study a family of coherent states, called Schrödingerlets, both in the continuous and discrete setting. They are defined in terms of the Schrödinger equation of a free quantum p…
Different faces of the shearlet group
Stefan Dahlke, Filippo De Mari, Ernesto De Vito +3
Recently, shearlet groups have received much attention in connection with shearlet transforms applied for orientation sensitive image analysis and restoration. The square integrabl…
Geometric classification of semidirect products in the maximal parabolic subgroup of
Filippo De Mari, Ernesto De Vito, Stefano Vigogna
We classify up to conjugation by (more precisely, block diagonal symplectic matrices) all the semidirect products inside the maximal parabolic of…
Coorbit spaces with voice in a Fréchet space
Stephan Dahlke, Filippo De Mari, Ernesto De Vito +4
We set up a new general coorbit space theory for reproducing representations of a locally compact second countable group that are not necessarily irreducible nor integrable. Ou…
Reproducing subgroups of Sp(2,R). Part II: admissible vectors
Giovanni S. Alberti, Filippo De Mari, Ernesto De Vito +1
In part I we introduced the class of Lie subgroups of and obtained a classification up to conjugation (Theorem 1.1). Here, we determine for which of the…
A mock metaplectic representation
Filippo De Mari, Ernesto De Vito
We obtain necessary and sufficient conditions for the admissible vectors of a new unitary non irreducible representation . The group is an arbitrary semidirect product whose…
Reproducing subgroups of . Part I: algebraic classification
Giovanni S. Alberti, Luca Balletti, Filippo De Mari +1
We classify the connected Lie subgroups of the symplectic group whose elements are matrices in block lower triangular form. The classification is up to conjugati…