A representation formula related to Schrodinger operators

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dc.creatorZheng, Shijun
dc.date2004-12-16
dc.date.accessioned2026-07-07T05:15:20Z
dc.date.available2026-07-07T05:15:20Z
dc.descriptionLet H be a Schrodinger operator on the real line, where the potential is in L^1 and L^2. We define the perturbed Fourier transform F for H and show that F is an isometry from the absolute continuous subspace onto L^2. This property allows us to construct a kernel formula for spectral operators. The main theorem improves the author's previous result for certain short-range potentials.
dc.descriptionfour pages, to appear in Anal. Theo. Appl
dc.identifierhttps://arxiv.org/abs/math/0412314
dc.identifierhttp://arxiv.org/abs/math/0412314
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73598
dc.subjectSpectral Theory
dc.subjectClassical Analysis and ODEs
dc.subject42C15; 35P25
dc.titleA representation formula related to Schrodinger operators
dc.typetext

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