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

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Jean-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.

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Graduate students and research mathematicians interested in $q$-difference equations.

Local Analytic Classification of $q$-Difference Equations

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Print Product Code: AST/355

Title (HTML): Local Analytic Classification of $q$-Difference Equations

Author(s) (Product display): Jean-Pierre Ramis; Jacques Sauloy; Changgui Zhang

Affiliation(s) (HTML): Université Paul Sabatier, Toulouse, France; Université Paul Sabatier, Toulouse, France; Université de Lille1 , Villeneuve d’Ascq, France

Publisher Blurb: A publication of the Société Mathématique de France

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Book Series Name: Astérisque

Volume: 355

Publication Month and Year: 2013-12-15

Page Count: 151

Cover Type: Softcover

Print ISBN-13: 978-2-85629-775-9

Print ISSN: 0303-1179

Primary MSC: 39

Secondary MSC: 34

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Publisher (non-AMS): Société Mathématique de France

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Readership:

Graduate students and research mathematicians interested in $q$-difference equations.

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Local Analytic Classification of \(q\)-Difference Equations

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Local Analytic Classification of $q$-Difference Equations