most citedSpectral projection, residue of the scattering amplitude, and Schrodinger group expansion for barrier-top resonances

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math.AP2009★ 1 cited

Spectral projection, residue of the scattering amplitude, and Schrodinger group expansion for barrier-top resonances

Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond +1

We study the spectral projection associated to a barrier-top resonance for the semiclassical Schrodinger operator. First, we prove a resolvent estimate for complex energies close t…