Mathematics – Analysis of PDEs
Scientific paper
2006-11-29
Mathematics
Analysis of PDEs
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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