C. Allard, R. Froese
A Mourre estimate for a Schroedinger operator on a binary tree.
(231K, PostScript)

ABSTRACT.  Let G be a binary tree with vertices V and let H be a Schrodinger 
operator acting on l^{2}(V). A decomposition of the space l^{2}(V) 
into invariant subspaces is exhibited yielding a conjugate operator 
A for use in the Mourre estimate. We show that for potentials q 
satisfying a first order difference decay condition, a Mourre 
estimate for H holds.