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math.FA2023
Polyharmonic potential theory on the Poincaré disk
Massimo A. Picardello, Maura Salvatori, Wolfgang Woess
We consider the open unit disk equipped with the hyperbolic metric and the associated hyperbolic Laplacian . For and …
math.FA2022★ 2 cited
Universal properties of the isotropic Laplace operator on homogeneous trees
Joel M. Cohen, Mauro Pagliacci, Massimo A Picardello
Let be the isotropic nearest neighbor transition operator on a homogeneous tree. We consider the -eigenfunctions of for outside its 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…