Commuting differential operators with regular singularities

Toshio Oshima ()
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Toshio Oshima: University of Tokyo, Graduate School of Mathematical Sciences

A chapter in Algebraic Analysis of Differential Equations, 2008, pp 195-224 from Springer

Abstract: Abstract 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, ℝ) and completely integrable quantum systems.

Keywords: differential operators; regular singularity; completely integrable systems (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-73240-2_18

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DOI: 10.1007/978-4-431-73240-2_18

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