On the inverse resonance problem for Jacobi operators -- uniqueness and stability (Q351333)
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scientific article; zbMATH DE number 6186954
| Language | Label | Description | Also known as |
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| English | On the inverse resonance problem for Jacobi operators -- uniqueness and stability |
scientific article; zbMATH DE number 6186954 |
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On the inverse resonance problem for Jacobi operators -- uniqueness and stability (English)
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11 July 2013
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The authors estimate the difference of the coefficients of two Jacobi operators (from a certain class) from knowledge about their eigenvalues and resonances. More specifically, the authors prove that, if eigenvalues and resonances of the two operators in a sufficiently large disk are respectively close, then the coefficients are close, too. A uniqueness result for the inverse resonance problem follows as a corollary.
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Jacobi operators
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eigenvalues and resonances
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inverse resonance problem
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