Periodic and almost periodic potentials in the inverse problems
I. M. Krichever, S. P. Novikov
TL;DR
This paper reviews fundamental concepts and examples related to inverse spectral problems, focusing on periodic and almost periodic potentials, providing insights into their theoretical framework.
Contribution
It offers a comprehensive overview of inverse spectral problems with emphasis on periodic and almost periodic potentials, highlighting key ideas and examples.
Findings
Clarified the role of periodic potentials in inverse problems
Presented fundamental examples illustrating inverse spectral theory
Summarized recent developments in inverse spectral analysis
Abstract
We review basic ideas and basic examples of the theory of the inverse spectral problems.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Numerical methods in inverse problems · Quantum chaos and dynamical systems