Algebraic-geometric operators and Galois differential theory

被引：0

作者：

N. V. Grigorenko

机构：

[1] Kiev National Agricultural University,

来源：

Ukrainian Mathematical Journal | 2009年 / 61卷

关键词：

Singular Point; Meromorphic Function; Elliptic Function; Galois Group; Darboux Transformation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show that, by using the Galois differential theory, one can substantially improve the description of algebraic-geometric operators. In particular, we give a complete description of all elementary algebraic-geometric operators, present simple relations for the construction of all second-order operators of this type, and give a criterion for testing the algebraic-geometric properties of a linear differential operator with meromorphic coefficients.

引用

页码：14 / 29

页数：15

共 6 条

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