A representation formula related to Schrodinger operators

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let 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.
four pages, to appear in Anal. Theo. Appl

Keywords

Spectral Theory, Classical Analysis and ODEs, 42C15; 35P25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/73598

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412314
 http://arxiv.org/abs/math/0412314

Collections

arXiv