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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 -spectrum of the Laplace operator (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 be the isotropic nearest neighbor transition operator on a homogeneous tree. We consider the -eigenfunctions of for outside its spectrum, i.e., the eige…