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.File | Dimensione | Formato | |
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Description of the Algebro Geometric S-L coefficients.pdf
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