%0 Journal Article
%T Pseudo-differential calculus on homogeneous trees
%A Etienne Le Masson
%J Mathematics
%D 2013
%I arXiv
%X In the objective of studying concentration and oscillation properties of eigenfunctions of the discrete Laplacian on regular graphs, we construct a pseudo-differential calculus on homogeneous trees, their universal covers. We define symbol classes and associated operators. We prove that these operators are bounded on L^2 and give adjoint and product formulas. Finally we compute the symbol of the commutator of a pseudo-differential operator with the Laplacian.
%U http://arxiv.org/abs/1302.5387v1