The Two-Spectra Inverse Problem for Semi-infinite Jacobi Matrices in The Limit-Circle Case |
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| Authors: | Luis O. Silva Ricardo Weder |
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| Affiliation: | (1) Departamento de Métodos Matemáticos y Numéricos, Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, México, D. F. C.P. 04510, Mexico |
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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. Ricardo Weder is a fellow of Sistema Nacional de Investigadores. |
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| Keywords: | Jacobi matrices Two-spectra inverse problem Limit circle case |
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