Abstract
This paper extends some results of Denisov and Kupin (Int Math Res Not, doi:10.1093/imrn/rnr131, 2011) to the case of sign–indefinite potentials by applying methods developed in Denisov (J Funct Anal 254:2186–2226, 2008). This enables us to prove the presence of a.c. spectrum for the generic coupling constant.
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Communicated by Jean Bellissard.
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Denisov, S.A. Remark on Itô’s Diffusion in Multidimensional Scattering with Sign-Indefinite Potentials. Ann. Henri Poincaré 14, 699–708 (2013). https://doi.org/10.1007/s00023-012-0196-6
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DOI: https://doi.org/10.1007/s00023-012-0196-6