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math.SP2017★ 2 cited
Propagation estimates in the one-commutator theory
Sylvain Golenia, Marc-Adrien Mandich
In the abstract framework of Mourre theory, the propagation of states is understood in terms of a conjugate operator . A powerful estimate has long been known for Hamiltonians h…
math.SP2016★ 2 cited
The limiting absorption principle for the discrete Wigner-von Neumann operator
Marc-Adrien Mandich
We apply weighted Mourre commutator theory to prove the limiting absorption principle for the discrete Schr{ö}dinger operator perturbed by the sum of a Wigner-von Neumann and long-…