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A representation formula related to Schrodinger operators

Shijun Zheng
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Abstract

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.

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Shijun Zheng. 2004-12-16. A representation formula related to Schrodinger operators. https://arxiv.org/abs/math/0412314

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