Commuting differential operators with regular singularities

Mathematics – Analysis of PDEs

Scientific paper

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24 pages

Scientific paper

We study a system of partial differential equations defined by commuting
family of differential operators with regular singularities. We construct
ideally analytic solutions depending on a holomorphic parameter. We give some
explicit examples of differential operators related to $SL(n,\mathbb R)$ and
completely integrable quantum systems.

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