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arxiv 0707.1732 v2 pith:VAQ4IMEZ submitted 2007-07-12 math-ph math.MP

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

classification math-ph math.MP
keywords casejacobicircledifferentextensionslimitoperatorself-adjoint
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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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