Inverse problems for ZS-operators and their isomorphisms
Spectral Theory
2025-12-11 v1
Abstract
Consider two inverse problems for ZS-operators problems on the unit interval. It means that there are two corresponding mappings from a Hilbert space of potentials into their spectral data. They are called isomorphic if is a composition of and some isomorphism of 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.
Cite
@article{arxiv.2512.09413,
title = {Inverse problems for ZS-operators and their isomorphisms},
author = {Evgeny Korotyaev and Zongfeng Zhang},
journal= {arXiv preprint arXiv:2512.09413},
year = {2025}
}