Inverse problems for ZS-operators and their isomorphisms

Evgeny Korotyaev; Zongfeng Zhang

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arXiv · 2512.09413

Inverse problems for ZS-operators and their isomorphisms

Evgeny Korotyaev·Zongfeng Zhang

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Abstract

Consider two inverse problems for ZS-operators problems on the unit interval. It means that there are two corresponding mappings $F, f$ from a Hilbert space of potentials $H$ into their spectral data. They are called isomorphic if $F$ is a composition of $f$ and some isomorphism $U$ of $H$ onto itself. We consider isomorphic inverse problems for ZS-operators on the unit interval under basic boundary conditions and on the circle. The proof is based on the non-linear analysis and properties of the 4-spectra mapping constructed in our paper.

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BibTeX RIS

Evgeny Korotyaev, Zongfeng Zhang. 2025-12-10. Inverse problems for ZS-operators and their isomorphisms. https://arxiv.org/abs/2512.09413

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