We consider perturbed Hamiltonian on the real line. The potential V (x), satisfies a short range assumption. We study the wave operator images of classical homogeneous Sobolev type spaces It is shown that the assumption zero is not a resonance guarantees that the corresponding wave operators leave classical homogeneous Sobolev spaces of order s ∈ [0, 1/p) invariant.
On wave operator image of perturbed Hamiltonians on the line
GUEORGUIEV, VLADIMIR SIMEONOV;
2016-01-01
Abstract
We consider perturbed Hamiltonian on the real line. The potential V (x), satisfies a short range assumption. We study the wave operator images of classical homogeneous Sobolev type spaces It is shown that the assumption zero is not a resonance guarantees that the corresponding wave operators leave classical homogeneous Sobolev spaces of order s ∈ [0, 1/p) invariant.File in questo prodotto:
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