English

\'Equations aux q-diff\'erences lin\'eaires: factorisation, r\'esolution et th\'eor\`emes d'indices

Quantum Algebra 2010-03-25 v3

Abstract

We describe explicit algorithms for factoring q-difference operators and solving q-difference equations. These are well known results, presented in a "concrete" form. ----- Nous decrivons des algorithmes explicites pour la factorisation d'operateurs et la resolution d'equations aux q-differences. Il s'agit d'une presentation "concrete" de resultats bien connus.

Keywords

Cite

@article{arxiv.0812.1983,
  title  = {\'Equations aux q-diff\'erences lin\'eaires: factorisation, r\'esolution et th\'eor\`emes d'indices},
  author = {Jacques Sauloy},
  journal= {arXiv preprint arXiv:0812.1983},
  year   = {2010}
}

Comments

30 pages. This version 0812.1983v3 is identical to version 1: 0812.1983v1. Please disregard 0812.1983v2 as it is identical to 0903.0853v2 : the person in charge of the update mistakenly sent the update to 0812.1983 instead of 0903.0853.

R2 v1 2026-06-21T11:50:29.075Z