Commuting differential operators of rank two
Commuting differential operators of rank two
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二阶通勤微分算子
DOI：
10.1016/0019-3577(96)85093-2
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
Hiroyuki Ochiai
中科院分区：
文献类型：
--
作者：
Hiroyuki Ochiai
符号为<$12 +<$22，<$12 <$22的交换微分算子与函数方程V1（x1）U+（x1+ x2）+ V1（x1）U−（x1− x2）+ V2（x2）U+（x1+ x2）− V2（x2）U−（x1− x2）= F+（x1+ x2）+ F−（x1− x2）+ G1（x1）+ G2（x2）有关。我们讨论了这类函数方程解的亚纯延拓和周期性等性质以及可换微分算子。
Commuting differential operators with symbols ∂12+ ∂22, ∂12∂22are related to the functional equation V1(x1)U+(x1+ x2) + V1(x1)U−(x1− x2) + V2(x2)U+(x1+ x2) − V2(x2)U−(x1− x2) = F+(x1+ x2) + F−(x1− x2) + G1(x1) + G2(x2). We discuss several properties, such as a meromorphic extension of solutions and periodicity, of this functional equation and commuting differential operators.