Generalized eigenfunctions of relativistic Schrodinger operators I

Generalized eigenfunctions of the 3-dimensional relativistic Schrodinger operator $sqrt{-Delta} + V(x)$ with $|V(x)|le C langle x angle^{{-sigma}}$, $sigma$ greater than 1, are considered. We construct the generalized eigenfunctions by exploiting results on the limiting absorption principle...

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Bibliographic Details
Main Author: Tomio Umeda
Format: Article
Language:English
Published: Texas State University 2006-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2006/127/abstr.thml