@incollection{AST_2004__296__145_0, author = {Laurent, Yves}, title = {$b$-functions and integrable solutions of holonomic $\mathcal{D}$-module}, booktitle = {Analyse complexe, syst\`emes dynamiques, sommabilit\'e des s\'eries divergentes et th\'eories galoisiennes (I) - Volume en l'honneur de Jean-Pierre Ramis}, editor = {Loday-Richaud Mich\`ele}, series = {Ast\'erisque}, pages = {145--165}, publisher = {Soci\'et\'e math\'ematique de France}, number = {296}, year = {2004}, mrnumber = {2136008}, zbl = {1082.32005}, language = {en}, url = {http://archive.numdam.org/item/AST_2004__296__145_0/} }
TY - CHAP AU - Laurent, Yves TI - $b$-functions and integrable solutions of holonomic $\mathcal{D}$-module BT - Analyse complexe, systèmes dynamiques, sommabilité des séries divergentes et théories galoisiennes (I) - Volume en l'honneur de Jean-Pierre Ramis AU - Collectif ED - Loday-Richaud Michèle T3 - Astérisque PY - 2004 SP - 145 EP - 165 IS - 296 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_2004__296__145_0/ LA - en ID - AST_2004__296__145_0 ER -
%0 Book Section %A Laurent, Yves %T $b$-functions and integrable solutions of holonomic $\mathcal{D}$-module %B Analyse complexe, systèmes dynamiques, sommabilité des séries divergentes et théories galoisiennes (I) - Volume en l'honneur de Jean-Pierre Ramis %A Collectif %E Loday-Richaud Michèle %S Astérisque %D 2004 %P 145-165 %N 296 %I Société mathématique de France %U http://archive.numdam.org/item/AST_2004__296__145_0/ %G en %F AST_2004__296__145_0
Laurent, Yves. $b$-functions and integrable solutions of holonomic $\mathcal{D}$-module, dans Analyse complexe, systèmes dynamiques, sommabilité des séries divergentes et théories galoisiennes (I) - Volume en l'honneur de Jean-Pierre Ramis, Astérisque, no. 296 (2004), pp. 145-165. http://archive.numdam.org/item/AST_2004__296__145_0/
[1] Characters of semi-simple Lie groups". Preprint. Oxford, 1976.
"[2] Groupes et algèbres de Lie. Hermann. | MR
[3] -modules and characters of semi-simple Lie groups", Duke Math, J. 123 (2004), no. 2, p. 265-309. | DOI | MR | Zbl
& "[4] Invariant distributions on semi-simple Lie groups". Bull. Amer. Math. Soc. 69 (1963), p. 117-123. | DOI | MR | Zbl
"[5] Invariant differential operators and distributions on a semi-simple Lie algebra". Amer. J. Math. 86 (1964), p. 534-564. | DOI | MR | Zbl
, "[6] The invariant holonomic system on a semi-simple Lie algebra". Invent, Math. 75 (1984). p. 327-358. | DOI | EuDML | MR | Zbl
& "[7] A homomorphism of Harish-Chandra and direct images of -modules". Proc. Amer. Math. Soc. 129 (2001). no. 12. p. 3485-3493. | DOI | MR | Zbl
& "[8] On holonomic systems of differential equations II", Invent. Math. 49 (1978). p. 121-135. | DOI | EuDML | MR | Zbl
"[9] Systems of microdifferential equations, Progress in Math., vol. 34, Birkhäuser, 1983. | MR | Zbl
,[10] Vanishing cycles and holonomic systems of differential equations", in Algebraic geometry (Tokyo/Kyoto, 1982). Lect. Notes in Math., vol. 1016. Springer, 1983. p. 134-142. | DOI | MR | Zbl
, "[11] The principal three-dimensional subgroups...", Amer. J. Math. 81 (1959), p. 973-1032. | DOI | MR | Zbl
- "[12] Polygone de Newton et -fonctions pour les modules microdifférentiels", Ann. scient. Éc. Norm. Sup. 4e série 20 (1987), p. 391-441. | DOI | EuDML | Numdam | MR | Zbl
"[13] Regularity of '-module associated to a symmetric pair", in Autour de l'analyse microlocale. Astérisque, vol. 284, Société Mathématique de France, Paris, 2003. | MR | Zbl
, "[14] Cycles proches, spécialisation et -modules", Ann. Inst. Fourier (Grenoble) 45 (1995), p. 1353-1405. | DOI | EuDML | Numdam | MR | Zbl
& - "[15] Invariant differential operators and a homomorphism of Harish-Chandra", J. Amer. Math. Soc. 8 (1995), no. 2, p. 365-372. | DOI | MR | Zbl
& "[16] The kernel of an homomorphism of Harish-Chandra", Ann. scient, Éc.Norm, Sup. 4e série 29 (1996). p. 385-397. | DOI | EuDML | Numdam | MR | Zbl
& , "[17] Invariant differential operators on the tangent space of some symmetric spaces", Ann. Inst. Fourier (Grenoble) 49 (1999), no. 6, p. 1711-1741. | DOI | EuDML | Numdam | MR | Zbl
& , "[18] -modules et cycles évanescents", in Conférence de La Rábida 1984, Travaux en cours, vol. 24, Hermann, 1987, p. 53-98. | MR | Zbl
"[19] Microdifferential systems in the complex domain, Grundlehren der math. Wiss., vol. 269, Springer. 1985. | DOI | MR | Zbl
-[20] Invariant spherical hyperfunctions on the tangent space of a symmetric space". Advanced Studies in pure mathematics, vol. 6. 1985. p. 83-126. | DOI | MR | Zbl
- "[21] Closed formulae for a -function associated with a weighted homogeneous isolated complete intersection singularity", to appear in J. Algebra. | MR | Zbl
- "[22] Lie groups, Lie algebras and their representations, Prentice-Hall, 1974. | MR | Zbl
-[23] Harmonic analysis on real reductive groups, Lect. Notes in Math., vol. 576, Springer. 1977. | MR | Zbl
,