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Asymptotic expansion in time of the Schrödinger group on conical manifolds. (English) Zbl 1118.35022
Ann. Inst. Fourier 56, No. 6, 1903-1945 (2006); Corrigendum 57, No. 6, 2081-2082 (2007).
Author’s abstract: For the Schrödinger operator $$P$$ on Riemannian manifolds with conical end, we study the contribution of zero energy resonant states to the singularity of the resolvent of $$P$$ near zero. Long-time expansion of the Schrödinger group $$U(t)= e^{-itP}$$ is obtained under a non-trapping condition at high energies.
In the corrigendum the authors correct an error in the normalizing constant of resonant states.

##### MSC:
 35P25 Scattering theory for PDEs 47A40 Scattering theory of linear operators 58J37 Perturbations of PDEs on manifolds; asymptotics 81U10 $$n$$-body potential quantum scattering theory
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