Pseudo-differential calculus on homogeneous trees

Abstract

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.

References in corpus (1)

• Quantum ergodicity on large regular graphs

Cited by in corpus (6)

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