We consider the class of reflectionless Sturm–Liouville potentials and the subclass consisting of "Sato–Segal–Wilson" potentials. We construct illustrative examples lying in these classes, in particular we adapt the constructions of Craig and Levitan to the Sturm–Liouville case. We also discuss an inverse problem of Kotani type in the context of Sato–Segal–Wilson potentials.
Some remarks concerning reflectionless Sturm-Liouville potentials
ZAMPOGNI, Luca
2008
Abstract
We consider the class of reflectionless Sturm–Liouville potentials and the subclass consisting of "Sato–Segal–Wilson" potentials. We construct illustrative examples lying in these classes, in particular we adapt the constructions of Craig and Levitan to the Sturm–Liouville case. We also discuss an inverse problem of Kotani type in the context of Sato–Segal–Wilson potentials.File in questo prodotto:
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