Some functorial properties of microlocalization for 𝓓-modules

 Access to full text

 Full (PDF)

1. [1] 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. Zbl0553.14005
2. [2] R. Hotta and M. Kashiwara, The invariant holonomic systems on a semisimple Lie algebra, Invent. Math. 75 (1984), 327-358. Zbl0538.22013
3. [3] M. Kashiwara, Vanishing Cycle Sheaves and Holonomic Systems of Differential Equations, Lecture Notes in Math. 1016, Springer, 1983. Zbl0566.32022
4. [4] 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. 
5. [5] M. Kashiwara and T. Kawai, On holonomic systems of microdifferential equations III, Publ. RIMS Kyoto Univ. 17 (1981), 813-979. Zbl0505.58033
6. [6] M. Kashiwara and T. Kawai, Microlocal analysis, ibid. 19 (1983), 1003-1032. Zbl0536.58030
7. [7] M. Kashiwara and T. Oshima, Systems of differential equations with regular singularities and their boundary value problems, Ann. of Math. 106 (1977), 154-200. Zbl0358.35073
8. [8] M. Kashiwara and P. Schapira, Sheaves on Manifolds, Grundlehren Math. Wiss. 292, Springer, 1990. 
9. [9] M. Kashiwara and P. Schapira, Microhyperbolic systems, Acta Math. 142 (1979), 1-55. Zbl0413.35049
10. [10] Y. Laurent, Thèse, Univ. Paris-Sud, 1982. 
11. [11] B. Malgrange, Transformation de Fourier géométrique, Séminaire Bourbaki 692 (1987-88). 
12. [12] B. Malgrange, Sur les points singuliers des équations différentielles, Enseign. Math. 20 (1974), 147-176. Zbl0299.34011
13. [13] Z. Mebkhout, Le formalisme des six opérations de Grothendieck pour les ${}_X$-modules cohérents, III §4, Hermann, Paris, 1989. Zbl0686.14020
14. [14] T. Oshima, A definition of boundary values of solutions of partial differential equations with regular singularities, Publ. RIMS Kyoto Univ. 19 (1983), 1203-1230. Zbl0559.35007
15. [15] M. Sato, M. Kashiwara and T. Kawai, Hyperfunctions and Pseudo-Differential Equations, Lecture Notes in Math. 287, Springer, 1973, 265-529. 
16. [16] P. Schapira, Microfunctions for boundary value problems, in: Algebraic Analysis in Honor of M. Sato, Vol. II, 1988, 809-819. 
17. [17] T. Monteiro Fernandes, Problème de Cauchy pour les systèmes microdifférentiels, Astérisque 140/141 (1986), 135-220. 
18. [18] T. Monteiro Fernandes, Propagation et constructibilité pour les systèmes microdifférentiels formels, ibid., 221-250. 
19. [19] T. Monteiro Fernandes, Formulation des valeurs au bord pour les systèmes réguliers, Compositio Math. 81 (1992), 121-142. 
20. [20] T. Monteiro Fernandes, Microlocalization of 𝓓-modules along a submanifold, Bull. Soc. Math. France 123 (1995), 293-327. Zbl0836.58037
21. [21] J.-L. Verdier, Spécialisation des faisceaux et monodromie modérée, in: Analyse et Topologie sur les Espaces Singuliers, Astérisque 101-102 (1981), 332-364.