Generalized eigenfunctions of relativistic Schroedinger operators I

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dc.creatorUmeda, Tomio
dc.date2003-10-07
dc.date.accessioned2026-07-07T05:01:41Z
dc.date.available2026-07-07T05:01:41Z
dc.descriptionGeneralized eigenfunctions of the 3-dimensional relativistic Schrödinger operator $\sqrtΔ + V(x)$ with $|V(x)|\le C < x >^{-σ}$, $σ> 1$, are considered. We show that the generalized eigenfunctions can be expressed as the sum of plane waves and solutions to the time-independent relativistic Schrödinger equation with the radiation condition. If $σ>3$, then we can give pointwise estimates of the differences between the sums and the solutions.
dc.description68 pages
dc.identifierhttps://arxiv.org/abs/math/0310090
dc.identifierhttp://arxiv.org/abs/math/0310090
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68765
dc.subjectSpectral Theory
dc.subject35P25; 47A40
dc.titleGeneralized eigenfunctions of relativistic Schroedinger operators I
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