It was discovered recently that there is a class of Sturm–Liouville operators whose coefficients are related to algebro-geometric data via a construction analogous to that carried out in the 1970s for the Schrödinger operator by Dubrovin, Matveev, and Novikov. In this paper, we study the “algebro-geometric” Sturm–Liouville coefficients in detail. Emphasis is placed on their recurrence properties. We make systematic use of the theory of abelian group extensions.

Description of the algebro-geometric Sturm-Liouville coefficients

ZAMPOGNI, Luca
2008

Abstract

It was discovered recently that there is a class of Sturm–Liouville operators whose coefficients are related to algebro-geometric data via a construction analogous to that carried out in the 1970s for the Schrödinger operator by Dubrovin, Matveev, and Novikov. In this paper, we study the “algebro-geometric” Sturm–Liouville coefficients in detail. Emphasis is placed on their recurrence properties. We make systematic use of the theory of abelian group extensions.
2008
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/170004
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