3 citations · 5 across the 5 of their papers we have counts for
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Resonances for homoclinic trapped sets
Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond +1
We study semiclassical resonances generated by homoclinic trapped sets. First, under some general assumptions, we prove that there is no resonance in a region below the real axis.…
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…
Microlocal kernel of pseudodifferential operators at an hyperbolic fixed point
J. -F. Bony, S. Fujiie, T. Ramond +1
We study the microlocal kernel of h-pseudodifferential operators P(x,hD)-z, where z belongs to some neighborhood of size O(h) of a critical value of its principal symbol. We suppos…