ON MEROMORPHIC EQUIVALENCE OF LINEAR DIFFERENCE-OPERATORS

被引：1

作者：

IMMINK, GK ^{[1
]}

机构：

[1] STATE UNIV GRONINGEN,INST ECONOMETR,9700 AV GRONINGEN,NETHERLANDS

来源：

ANNALES DE L INSTITUT FOURIER | 1990年 / 40卷 / 03期

关键词：

LINEAR DIFFERENCE OPERATOR; FORMAL EQUIVALENCE; MEROMORPHIC EQUIVALENCE; MEROMORPHIC INVARIANTS; INVERSE PROBLEM; RIEMANN-HILBERT PROBLEM;

D O I：

10.5802/aif.1228

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider linear difference equations whose coefficients are meromorphic at infinity. We characterize the meromorphic equivalence classes of such equations by means of a system of meromorphic invariants. Using an approach inspired by the work of G.D. Birkhoff we show that the system is free.

引用

页码：683 / 699

页数：17

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