摘要

We essentially achieve Birkhoff%26apos;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-Guenther normal forms, q-analogues of the so-called Birkhoff-Malgrange-Sibuya theorems and a new theory of summation. The results were announced in [44,45] and in various seminars and conferences between 2004 and 2006.

  • 出版日期2013