ArticleOriginal scientific text
Title
Some functorial properties of microlocalization for -modules
Authors 1
Affiliations
- Centro de Matemática e Aplicações Fundamentais da Universidade de Lisboa, Complexo II-2, Av. Prof. Gama Pinto, 1699 Lisboa Codex, Portugal
Bibliography
- J.-L. Brylinski, B. Malgrange et J.-L. Verdier, Transformation de Fourier géométrique I, II, C. R. Acad. Sci. Paris 297 (1983), 55-58 and 303 (1986), 193-198.
- R. Hotta and M. Kashiwara, The invariant holonomic systems on a semisimple Lie algebra, Invent. Math. 75 (1984), 327-358.
- M. Kashiwara, Vanishing Cycle Sheaves and Holonomic Systems of Differential Equations, Lecture Notes in Math. 1016, Springer, 1983.
- M. Kashiwara and T. Kawai, Second microlocalization and asymptotic expansions, in: Complex Analysis, Calculus and Relativistic Quantum Theory, Lecture Notes in Phys. 126, Springer, 1980, 21-76.
- M. Kashiwara and T. Kawai, On holonomic systems of microdifferential equations III, Publ. RIMS Kyoto Univ. 17 (1981), 813-979.
- M. Kashiwara and T. Kawai, Microlocal analysis, ibid. 19 (1983), 1003-1032.
- M. Kashiwara and T. Oshima, Systems of differential equations with regular singularities and their boundary value problems, Ann. of Math. 106 (1977), 154-200.
- M. Kashiwara and P. Schapira, Sheaves on Manifolds, Grundlehren Math. Wiss. 292, Springer, 1990.
- M. Kashiwara and P. Schapira, Microhyperbolic systems, Acta Math. 142 (1979), 1-55.
- Y. Laurent, Thèse, Univ. Paris-Sud, 1982.
- B. Malgrange, Transformation de Fourier géométrique, Séminaire Bourbaki 692 (1987-88).
- B. Malgrange, Sur les points singuliers des équations différentielles, Enseign. Math. 20 (1974), 147-176.
- Z. Mebkhout, Le formalisme des six opérations de Grothendieck pour les
-modules cohérents, III §4, Hermann, Paris, 1989. - T. Oshima, A definition of boundary values of solutions of partial differential equations with regular singularities, Publ. RIMS Kyoto Univ. 19 (1983), 1203-1230.
- M. Sato, M. Kashiwara and T. Kawai, Hyperfunctions and Pseudo-Differential Equations, Lecture Notes in Math. 287, Springer, 1973, 265-529.
- P. Schapira, Microfunctions for boundary value problems, in: Algebraic Analysis in Honor of M. Sato, Vol. II, 1988, 809-819.
- T. Monteiro Fernandes, Problème de Cauchy pour les systèmes microdifférentiels, Astérisque 140/141 (1986), 135-220.
- T. Monteiro Fernandes, Propagation et constructibilité pour les systèmes microdifférentiels formels, ibid., 221-250.
- T. Monteiro Fernandes, Formulation des valeurs au bord pour les systèmes réguliers, Compositio Math. 81 (1992), 121-142.
- T. Monteiro Fernandes, Microlocalization of -modules along a submanifold, Bull. Soc. Math. France 123 (1995), 293-327.
- J.-L. Verdier, Spécialisation des faisceaux et monodromie modérée, in: Analyse et Topologie sur les Espaces Singuliers, Astérisque 101-102 (1981), 332-364.