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 Schr¨odinger 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 / R. JOHNSON; L. ZAMPOGNI. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 244:(2008), pp. 716-740. [10.1016/j.jde.2007.09.013]

Description of the algebro-geometric Sturm-Liouville coefficients

JOHNSON, RUSSELL ALLAN;
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 Schr¨odinger 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
244
716
740
R. JOHNSON; L. ZAMPOGNI
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/253209
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