Local analytic classification of q-difference equations

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-Guenther normal forms, q-analogues of the so-called Birkhoff-Malgrange--Sibuya theorems and a new...

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Main Author: Ramis, J.-P. (Jean-Pierre)
Other Authors: Sauloy, Jacques; Zhang, Changgui, 1966-
Format: Book
Language: English
Published: Paris : Société mathématique de France, 2013
Series: Astérisque ; 355.