Local analytic classification of q-difference equations / Jean-Pierre Ramis, Jacques Sauloy and Changgui Zhang.
Material type:
TextSeries: Asterisque ; 355.Publication details: Paris : Societe mathematique de France, 2013.Description: vi, 151 p. : illustrations ; 24 cmISBN: - 9782856297759 (paperback)
- 510=4 23 As853
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 510=4 As853 (Browse shelf(Opens below)) | Available | C26461 |
Browsing ISI Library, Kolkata shelves Close shelf browser (Hides shelf browser)
| 510=4 As853 Seeminaire Bourbaki : volume 2008/2009 : | 510=4 As853 Seminaire Bourbaki : volume 2012/2013 : | 510=4 As853 Gaussian free field and conformal field theory / | 510=4 As853 Local analytic classification of q-difference equations / | 510=4 As853 Microlocal properties of sheaves and complex WKB / | 510=4 As853 Formal theory of Tannaka duality / | 510=4 As853 Cocycles over partially hyperbolic maps / |
Includes bibliographical references (pages 139-143) and indexes.
1. Introduction --
2. Some general nonsense --
3. The affine space of isoformal analytic classes --
4. The q-analogs of Birkhoff-Malgrange-Sibuya theorems --
5. Summation and asymptotic theory --
6. Geometry of the space of classes --
7. Examples of the Stokes phenomenon --
A. Classification of isograded filtered difference modules--
Bibliography--
Index of notations--
Index.
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 theory of summation. The results were announced in various seminars and conferences between 2004 and 2006.
Text in English; abstract in both English and French.
There are no comments on this title.
