An edition of Local analytic classification of q-difference equations
(2013)
Local analytic classification of q-difference equations
by J.-P Ramis
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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.
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Subjects
Difference equations, Riemann-Hilbert problemsShowing 1 featured edition. View all 1 editions?
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Local analytic classification of q-difference equations
2013, Société mathématique de France
in English
2856297757 9782856297759
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Table of Contents
Introduction
Some general nonsense
The affine space of isoformal analytic classes
The q-analogs of Birkhoff-Malgrange-Sibuya theorems
Summation and asymptotic theory
Geometry of the space of classes
Examples of the Stokes phenomenon
Classification of isograded filtered difference modules.
Edition Notes
Includes bibliographical references (pages 139-143) and indexes.
Text in English; abstract in both English and French.
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