 98497 C. Allard, R. Froese
 A Mourre estimate for a Schroedinger operator on a binary tree.
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Jul 9, 98

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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.
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