Microlocalisation of -modules along a submanifold
Bulletin de la Société Mathématique de France (1995)
- Volume: 123, Issue: 2, page 293-327
- ISSN: 0037-9484
Access Full Article
topHow to cite
topMonteiro Fernandes, Teresa. "Microlocalisation of $\mathcal {D}$-modules along a submanifold." Bulletin de la Société Mathématique de France 123.2 (1995): 293-327. <http://eudml.org/doc/87719>.
@article{MonteiroFernandes1995,
author = {Monteiro Fernandes, Teresa},
journal = {Bulletin de la Société Mathématique de France},
keywords = {microlocal analysis; -module},
language = {eng},
number = {2},
pages = {293-327},
publisher = {Société mathématique de France},
title = {Microlocalisation of $\mathcal \{D\}$-modules along a submanifold},
url = {http://eudml.org/doc/87719},
volume = {123},
year = {1995},
}
TY - JOUR
AU - Monteiro Fernandes, Teresa
TI - Microlocalisation of $\mathcal {D}$-modules along a submanifold
JO - Bulletin de la Société Mathématique de France
PY - 1995
PB - Société mathématique de France
VL - 123
IS - 2
SP - 293
EP - 327
LA - eng
KW - microlocal analysis; -module
UR - http://eudml.org/doc/87719
ER -
References
top- [A] ANDRONIKOF (E.). — Microlocalisation tempérée des distributions et des fonctions holomorphes I, II, C.R. Acad. Sci., t. 303, 1986, p. 347-350 and t. 304, 1987, p. 511-514. Zbl0602.32003
- [A-MF] ANDRONIKOF (E.) and MONTEIRO FERNANDES (T.). — On the tempered solutions of regular systems, in [Ɗ-Modules and Microlocal Geometry], Walter de Gruyter, 1992, p. 107-124. Zbl0793.58031MR94b:58090
- [B1] BJÖRK (J.-E.). — Rings of differential operators. — North-Holland Math. Lib., 1979. Zbl0499.13009
- [B2] BJÖRK (J.-E.). — Analytic Ɗ-modules. — Kluwer Publi., 1991.
- [Br] BRYLINSKI (J.-L.). — Transformations canoniques, dualité projective, théorie de Lefschetz, Astérisque, t. 140/141, 1986, p. 3-134. Zbl0624.32009
- [Br-Ma-V] BRYLINSKY (J.-L.), MALGRANGE (B.) and VERDIER (J.-L.). — Transformation de Fourier géométrique I, II, C.R. Acad. Sci., t. 297, 1983, p. 55-58 and t. 303, 1986, p. 193-198. Zbl0553.14005
- [De] DELIGNE (P.). — Le formalisme des cycles évanescents, in [SGA 7] exposé XIV. Zbl0266.14008
- [H-K] HOTTA (R.) and KASHIWARA (M.). — The invariant holonomic systems on a semisimple Lie Algebra, Invent. Math., t. 75, 1984, p. 327-358. Zbl0538.22013MR87i:22041
- [Ha] HARTSHORNE (R.). — Residues and duality, Lect. Notes in Math., 20, Springer-Verlag, 1966. Zbl0212.26101MR36 #5145
- [H-S] HOUZEL (C.) and SCHAPIRA (P.). — Images directes des modules différentiels, C.R. Acad. Sci., t. 298, 1984, p. 461-464. Zbl0582.14004MR85f:32015
- [K1] KASHIWARA (M.). — On the holonomic systems of linear differential equations II, Invent. Math., t. 49, 1978, p. 121-135. Zbl0401.32005MR80a:58035
- [K2] KASHIWARA (M.). — Vanishing cycle sheaves and holonomic systems of differential equations, Lect. Notes in Math., 1016, Springer-Verlag, 1983. Zbl0566.32022MR85e:58137
- [K3] KASHIWARA (M.). — Systems of microdifferential equations, Progress in Math., 34, Birkhäuser, Boston, 1983. Zbl0521.58057MR86b:58113
- [K4] KASHIWARA (M.). — b-functions and holonomic systems, Invent. Math., t. 38, 1976, p. 33-53. Zbl0354.35082MR55 #3309
- [K-K1] KASHIWARA (M.) and KAWAI (T.). — Second microlocalisation and asymptotic expansions, in [Complex Analysis, Calculus and relativistic quantum Theory], Lect. Notes in Phys., 126, Springer-Verlag, 1980, p. 21-76. Zbl0458.46027MR81i:58038
- [K-K2] KASHIWARA (M.) and KAWAI (T.). — On holonomic systems of micro-differential equations III, Publ. RIMS, Kyoto Univ., t. 17, 1981, p. 813-979. Zbl0505.58033MR83e:58085
- [K-K3] KASHIWARA (M.) and KAWAI (T.). — Microlocal analysis, Publ. RIMS, Kyoto Univ., t. 19, 1983, p. 1003-1032. Zbl0536.58030MR85h:58159
- [K-O] KASHIWARA (M.) and OSHIMA (T.). — Systems of differential equations with regular singularities and their boundary value problems, Ann. of Math., t. 106, 1977, p. 154-200. Zbl0358.35073MR58 #2914
- [K-S1] KASHIWARA (M.) and SCHAPIRA (P.). — Microlocal Study of sheaves. I., Proc. Japan Acad., t. 59, 1983, p. 349-354. Zbl0548.58039MR85h:58158a
- [K-S2] KASHIWARA (M.) and SCHAPIRA (P.). — Sheaves on manifolds, Grundlehren der Mathematischen Wissenschaften, 292, Springer-Verlag, 1990. Zbl0709.18001MR92a:58132
- [L-MF] LAURENT (Y.) et MONTEIRO FERNANDES (T.). — Systèmes différentiels fuchsiens le long d'une sous-varieté, Publ. RIMS, Kyoto Univ., t. 24, 1988, p. 397-431. Zbl0704.35032MR90b:58249
- [L-S] LAURENT (Y.) et SCHAPIRA (P.). — Images inverses des modules différentiels, Compositio Math., t. 61, 1987, p. 229-251. Zbl0617.32014MR88f:32044
- [Ma1] MALGRANGE (B.). — Transformation de Fourier geométrique, Séminaire Bourbaki, t. 692, 1987-1988, p. 133-150. Zbl0687.35003MR90c:58178
- [Ma2] MALGRANGE (B.). — Extension of holonomic D-modules. — Algebraic Analysis (in honour of Prof. M. Sato), vol. I, Academic Press, 1988, p. 403-411. Zbl0672.32006MR90e:32011
- [Me] MEBKHOUT (Z.). — Le formalisme des six opérations de Grothendieck pour les Ɗx-modules cohérents III, § 4. — Hermann, Paris, 1989. Zbl0686.14020
- [MF1] MONTEIRO FERNANDES (T.). — Problème de Cauchy pour les systèmes microdiffèrentiels, Astérisque, t. 140/141, 1986, p. 135-220. Zbl0643.58027MR89b:58194
- [MF2] MONTEIRO FERNANDES (T.). — Propagation et constructibilité pour les systèmes microdifférentiels formels, Astérisque, t. 140/141, 1986, p. 221-250. Zbl0626.58027MR89b:58195
- [MF3] MONTEIRO FERNANDES (T.). — Formulation des valeurs au bord pour les systèmes réguliers, Compositio Math., t. 81, 1992, p. 121-142. Zbl0754.58034MR92k:58261
- [O1] OSHIMA (T.). — A definition of boundary values of solutions of partial differential equations with regular singularities, Publ. RIMS, Kyoto Univ., t. 19, 1983, p. 1203-1230. Zbl0559.35007MR86d:35009
- [Sa] SABBAH (C.). — Cycles évanescents et ƊX-modules (d'après M. Kashiwara et B. Malgrange), Conférence de la Rabida, 1984, 3, Hermann, Paris, p. 53-98, 1987. Zbl0623.32013
- [Sai1] SAITO (M.). — On the structure of Brieskorn lattice, preprint. Zbl0644.32005
- [Sai2] SAITO (M.). — Modules de Hodge polarisables, Publ. RIMS, Kyoto Univ., t. 24, 1988, p. 849-995. Zbl0691.14007MR90k:32038
- [S] SCHAPIRA (P.). — Microdifferential systems in the complex domain, Grundlehren der Mathematischen Wissenschaften, 269, 1985. Zbl0554.32022MR87k:58251
- [S-K-K] SATO (M.), KASHIWARA (M.) and KAWAI (T.). — Hyperfunctions and pseudo-differential equations, Lect. Notes in Math., Springer-Verlag, t. 287, 1973, p. 265-529. Zbl0277.46039MR54 #8747
- [Ve1] VERDIER (J.-L.). — Spécialisation des faisceaux et monodromie modérée, Analyse et topologie sur les espaces singuliers, Astérisque, t. 101-102, 1981, p. 332-364. Zbl0532.14008MR86f:32010
- [Ve2] VERDIER (J.-L.). — Geométrie microlocale, Lect. Notes in Math., Springer-Verlag, t. 1016, 1983, p. 127-133. Zbl0576.35096MR85d:32023
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.