Astérisque
Volume: 355;
2013;
151 pp;
Softcover
MSC: Primary 39;
Secondary 34
Print ISBN: 978-2-85629-775-9
Product Code: AST/355
List Price: $63.00
AMS Member Price: $50.40
Local Analytic Classification of \(q\)-Difference Equations
Share this pageJean-Pierre Ramis; Jacques Sauloy; Changgui Zhang
A publication of the Société Mathématique de France
The authors 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 theory of summation. The results were announced in La variété des classes analytiques d'équations aux \(q\)-differences dans une classe formelle and Développement asymptotique et sommabilité des solutions des équations linéaires aux \(q\)-différences and in various seminars and conferences between 2004 and 2006.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Readership
Graduate students and research mathematicians interested in \(q\)-difference equations.