Inverse spectral problems for singular rank-one perturbations of a Hill operator

• Autores: Kazushi Yoshitomi
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 87, Nº 3, 2009, págs. 421-428
• Idioma: inglés
• DOI: 10.1017/s1446788709000135
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• Resumen

  • We investigate an inverse spectral problem for the singular rank-one perturbations of a Hill operator. We give a necessary and sufficient condition for a real sequence to be the spectrum of a singular rank-one perturbation of the Hill operator.