2006/11/29 by Toshio Oshima, Oshima, Toshio
Mathematics · Physics and Astronomy · #16S32: 16S30 #35G05 #70H06 #Algebraic structures and combinatorial models #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #advanced mathematical theories #math.AP #math.RT #msc:16S30 #msc:35G05 #msc:70H06
paper · pdf · doi:10.48550/arxiv.math/0611899
24 pages
arxiv created 2006/11/29 · openalex publication_date 2006/11/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.