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arXiv · 2112.01990

Inverse Scattering Problem for Sturm--Liouville Operators

Hayk Asatryan
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Abstract

On the space $L^{2}(\mathbb{R})$ the Sturm-Liouville operator $L$ with certain behavior of the potential at infinity is considered. It is proved that $L$ is uniquely determined by its scattering data. The recovery of $L$ is reduced to the solving of a certain linear integral equation.

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Hayk Asatryan. 2021-12-03. Inverse Scattering Problem for Sturm--Liouville Operators. https://arxiv.org/abs/2112.01990

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