q-差分方程的局部解析分类
Local analytic classification of q-difference equations
摘要：
通过对同构解析类的模空间给出三种不同的描述，我们实质上实现了q-差分方程的Birkhoff程序.这涉及到Birkhoff-Guenter正规形式的扩展，所谓的Birkhoff-Malgrange-Sibuya定理的q-类似物和一个新的求和理论。结果在[C]中公布。R.数学学院Sci.]以及2004年至2006年期间的各种研讨会和会议。
英文摘要：
We essentially achieve Birkhoff's program for q-difference equations by giving three different descriptions of the moduli space of isoformal analytic classes. This involves an extension of Birkhoff-Guenter normal forms, q-analogues of the so-called Birkhoff-Malgrange-Sibuya theorems and a new theory of summation. The results were announced in [C. R. Math. Acad. Sci.] and in various seminars and conferences between 2004 and 2006.
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