@inbook{8df2e4e6f67f455d82942bfaf8673bf6,
title = "Sectorial Hamiltonians without zero resonance in one dimension",
abstract = "We consider a 1-D Laplace operator with short range potential W (x) and study sectorial properties and resolvent estimates associated with this perturbed Laplacian. It is shown that non resonance assumption at zero and sufficiently fast decay of the potential at infinity guarantee that the Hamiltonian is a sectorial operator in Lp for 1 < p ≤ ∞.",
keywords = "Sectorial operators, Zero resonances",
author = "Vladimir Georgiev and Giammetta, {Anna Rita}",
note = "Publisher Copyright: {\textcopyright} 2016 American Mathematical Society.",
year = "2016",
doi = "10.1090/conm/666/13246",
language = "English",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
pages = "225--237",
booktitle = "Contemporary Mathematics",
address = "United States",
}