391 citations · 1.8k across the 147 of their papers we have counts for
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math.SP2008★ 2 cited
A note on low energy scattering for homogeneous long range potentials
Rupert L. Frank
We explicitly calculate the scattering matrix at energy zero for attractive, radial and homogeneous long-range potentials. This proves a conjecture by Derezinski and Skibsted.
math.SP2008★ 19 cited
Singular spectrum for radial trees
Jonathan Breuer, Rupert L. Frank
We prove several results showing that absolutely continuous spectrum for the Laplacian on radial trees is a rare event. In particular, we show that metric trees with unbounded edge…