Local analytic classification of q-difference equations
Quantum Algebra
2012-01-31 v3
Abstract
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.
Cite
@article{arxiv.0903.0853,
title = {Local analytic classification of q-difference equations},
author = {J. -P. Ramis and J. Sauloy and C. Zhang},
journal= {arXiv preprint arXiv:0903.0853},
year = {2012}
}
Comments
176 pages