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arXiv · 0707.1732

The Two-Spectra Inverse Problem for Semi-Infinite Jacobi Matrices in The Limit-Circle Case

Luis O. Silva·Ricardo Weder
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Abstract

We present a technique for reconstructing a semi-infinite Jacobi operator in the limit circle case from the spectra of two different self-adjoint extensions. Moreover, we give necessary and sufficient conditions for two real sequences to be the spectra of two different self-adjoint extensions of a Jacobi operator in the limit circle case.

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Luis O. Silva, Ricardo Weder. 2008-09-13. The Two-Spectra Inverse Problem for Semi-Infinite Jacobi Matrices in The Limit-Circle Case. https://doi.org/10.1007/s11040-008-9044-9

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