Self-adjoint commuting differential operators of rank two

A. E. Mironov

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 71 (2016) no. 4, pp. 751-779

Résumé

This is a survey of results on self-adjoint commuting ordinary differential operators of rank two. In particular, the action of automorphisms of the first Weyl algebra on the set of commuting differential operators with polynomial coefficients is discussed, as well as the problem of constructing algebro-geometric solutions of rank $l>1$ of soliton equations. Bibliography: 59 titles.

Détail

Keywords: commuting differential operators of rank two, self-adjoint operators, Weyl algebra.

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