On the Two Spectra Inverse Problem for Semi-Infinite Jacobi Matrices
Silva, Luis O. ; Weder, Ricardo
arXiv, 0511078 / Harvested from arXiv
Text on arXiv
We present results on the unique reconstruction of a semi-infinite Jacobi operator from the spectra of the operator with two different boundary conditions. This is the discrete analogue of the Borg-Marchenko theorem for Schr{\"o}dinger operators in the half-line. Furthermore, we give necessary and sufficient conditions for two real sequences to be the spectra of a Jacobi operator with different boundary conditions.
Publié le : 2005-11-25
Classification:  Mathematical Physics,  Mathematics - Spectral Theory,  47B36,  49N45,  81Q10,  47A75,  47B37,  47B39 
@article{0511078,
     author = {Silva, Luis O. and Weder, Ricardo},
     title = {On the Two Spectra Inverse Problem for Semi-Infinite Jacobi Matrices},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0511078}
}

Silva, Luis O.; Weder, Ricardo. On the Two Spectra Inverse Problem for Semi-Infinite Jacobi Matrices. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511078/