11 citations · 28 across the 14 of their papers we have counts for
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math-ph2016★ 1 cited
Resolvent expansions for the Schrödinger operator on the discrete half-line
Kenichi Ito, Arne Jensen
Simplified models of transport in mesoscopic systems are often based on a small sample connected to a finite number of leads. The leads are often modelled using the Laplacian on th…
math-ph2016★ 9 cited
Branching form of the resolvent at threshold for multi-dimensional discrete Laplacians
Kenichi Ito, Arne Jensen
We consider the discrete Laplacian on , and compute asymptotic expansions of its resolvent around thresholds embedded in continuous spectrum as well as those at end po…