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math-ph2011★ 2 cited
Spectral analysis and time-dependent scattering theory on manifolds with asymptotically cylindrical ends
S. Richard, R. Tiedra de Aldecoa
We review the spectral analysis and the time-dependent approach of scattering theory for manifolds with asymptotically cylindrical ends. For the spectral analysis, higher order res…
math-ph2011
A few results on Mourre theory in a two-Hilbert spaces setting
S. Richard, R. Tiedra de Aldecoa
We introduce a natural framework for dealing with Mourre theory in an abstract two-Hilbert spaces setting. In particular a Mourre estimate for a pair of self-adjoint operators (H,A…