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 $\lambda$-eigenfunctions of $P$ for $\lambda$ outside its ${\ell }^2$ spectrum, i.e., the eige…