M. Picardello

activity

20182023

most citedRadon transforms on homogeneous trees

2 citations · 4 across the 7 of their papers we have counts for

collaborators

8 papers

math.FA2023

Polyharmonic potential theory on the Poincaré disk

Massimo A. Picardello, Maura Salvatori, Wolfgang Woess

We consider the open unit disk $D$ equipped with the hyperbolic metric and the associated hyperbolic Laplacian $L$ . For $λ \in C$ and $n \in N$ …

math.RT2023

Positive definite functions on semi-homogeneous trees and spherical representations

Massimo A. Picardello

We consider the group $Aut (T)$ of isometries of a semi-homogeneous tree $T = T_{q_{+}, q_{-}}$ with valencies $q_{+} + 1$ and $q_{-} + 1$ and its two orbits $V_{+}$ , $V_{-}$ respectively.…

math.FA2022

Spherical functions and spectrum of the Laplacian on semi-homogeneous trees

Enrico Casadio Tarabusi, Massimo A. Picardello

On a semi-homogeneous tree, we study the $ℓ^{p}$ -spectrum of the Laplace operator $μ_{1}$ (the isotropic nearest-neighbor transition operator); the known results in the much simpler…

math.FA2022★ 2 cited

Universal properties of the isotropic Laplace operator on homogeneous trees

Joel M. Cohen, Mauro Pagliacci, Massimo A Picardello

Let $P$ be the isotropic nearest neighbor transition operator on a homogeneous tree. We consider the $λ$ -eigenfunctions of $P$ for $λ$ outside its $ℓ^{2}$ spectrum, i.e., the eige…

math.FA2020★ 2 cited

Radon transforms on homogeneous trees

Enrico Casadio Tarabusi, Simon G. Gindikin, Massimo A. Picardello

We study the different horospherical Radon transforms that arise by regarding a homogeneous tree T as a simplicial complex whose simplices are vertices V, edges E or flags F (flags…

math.FA2019

Frequently dense harmonic functions and universal martingales on trees

Evgeny Abakumov, Vassili Nestoridis, Massimo Picardello

We prove the existence of harmonic functions $f$ on trees, with respect to suitable transient transition operators $P$ , that satisfy an analogue of Menshov universal property in th…

math.FA2018

Boundary representations of $λ$ -harmonic and polyharmonic functions on trees

Massimo A. Picardello, Wolfgang Woess

On a countable tree $T$ , allowing vertices with infinite degree, we consider an arbitrary stochastic irreducible nearest neighbour transition operator $P$ . We provide a boundary in…