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- W2027480133 abstract "We consider a periodic Jacobi operator $H$ with finitely supported perturbations on ${Bbb Z}.$ We solve the inverse resonance problem: we prove that the mapping from finitely supported perturbations to the scattering data: the inverse of the transmission coefficient and the Jost function on the right half-axis, is one-to-one and onto. We consider the problem of reconstruction of the scattering data from all eigenvalues, resonances and the set of zeros of $R_-(lambda)+1,$ where $R_-$ is the reflection coefficient." @default.
- W2027480133 created "2016-06-24" @default.
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- W2027480133 date "2011-05-17" @default.
- W2027480133 modified "2023-09-27" @default.
- W2027480133 title "Periodic Jacobi operator with finitely supported perturbations: the inverse resonance problem" @default.
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