论文信息 - Systemes holonomes d'équations aux g-différences

Systemes holonomes d'équations aux g-différences

We develop the theory of holonomic systems of q-difference equations in a way similar to the theory of holonomic modules over the Weyl algebra. We are then able to give answers to some questions raised by K. Aomoto [2, 3] concerning hypergeometric systems of q-difference equations. 1980 Mathematics Subject Classification (1985 Revision) : 33D60, 32C38, 39A10.

C. Sabbah | Claude Sabbah

[1] K. Aomoto. $q$-analogue of de Rham cohomology associated with Jackson integrals, II , 1990 .

[2] K. Aomoto. Finiteness of a cohomology associated with certain Jackson integrals , 1991 .

[3] Z. Mebkhout. Le formalisme des six opérations de Grothendieck pour les D[X]-modules cohérents : systemes différentiels , 1989 .

[4] Jan-Erik Björk,et al. Rings of differential operators , 1979 .

[5] C. Sabbah,et al. Caractérisation des D-modules hypergéométriques irréductibles sur le tore, II , 1991 .

[6] Masaki Kashiwara,et al. B-functions and holonomic systems , 1976 .

[7] I. N. Bernshtein. The analytic continuation of generalized functions with respect to a parameter , 1972 .

[8] K. Aomoto. A Note on Holonomic q- Difference Systems , 1988 .