Commuting higher rank ordinary differential operators

  • Andrey Mironov

    Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russian Federation
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Abstract

The theory of commuting ordinary differential operators was developed from the beginning of the XX century on. The problem of finding commuting differential operators is solved for the case of operators of rank one. For operators of rank greater than one it is still open. In this paper we discuss some results related to operators of rank greater than one.