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Topological boundary values and regular $\mathcal{D}$-modules
Yves Laurent and Teresa Monteiro Fernandes
Source: Duke Math. J. Volume 93, Number 2 (1998), 207-230.
First Page PDF: View first page of article (PDF, 116 KB)Primary Subjects: 32C38
Secondary Subjects: 35A27, 58J15
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077230880
Mathematical Reviews number (MathSciNet):
MR1626011
Zentralblatt MATH identifier:
0951.32007
Digital Object Identifier: doi:10.1215/S0012-7094-98-09308-5
References
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MR94b:58090
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0793.58031
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MR53:1070
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[5] T. Monteiro Fernandes, Holmgren theorem and boundary values for regular systems, C. R. Acad. Sci. Paris Sér. I Math. 318 (1994), no. 10, 913–918.
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0566.32022
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[9] M. Kashiwara and Y. Laurent, Théorèmes d'annulation et deuxième microlocalisation, Orsay, preprint, 1977.
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Mathematical Reviews (MathSciNet):
MR58:2914
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0358.35073
Digital Object Identifier: doi:10.2307/1971163
JSTOR: links.jstor.org
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MR87f:58159
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MR92a:58132
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MR86k:58113
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0561.32013
[15] Y. Laurent, Polygône de Newton et $b$-fonctions pour les modules microdifférentiels, Ann. Sci. École Norm. Sup. (4) 20 (1987), no. 3, 391–441.
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MR89k:58282
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0646.58021
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MR94e:32025
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0799.32031
Digital Object Identifier: doi:10.1007/BF01232445
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Mathematical Reviews (MathSciNet):
MR1691161
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MR90b:58249
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0704.35032
[19] Y. Laurent and B. Malgrange, Cycles proches, spécialisation et $\scr D$-modules, Ann. Inst. Fourier (Grenoble) 45 (1995), no. 5, 1353–1405.
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0837.35006
[20] T. Oshima, A definition of boundary values of solutions of partial differential equations with regular singularities, Publ. Res. Inst. Math. Sci. 19 (1983), no. 3, 1203–1230.
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[21] C. Sabbah and Z. Mebkhout, $\mathcal{D}$-modules et cycles évanescents, Le formalisme des six opérations de Grothendieck pour les $\mathcal{D}$-modules cohérents, Travaux en Cours, vol. 35, Hermann, Paris, 1988.
[22] M. Sato, T. Kawai, and M. Kashiwara, Microfunctions and pseudo-differential equations, Hyperfunctions and pseudo-differential equations (Proc. Conf., Katata, 1971; dedicated to the memory of André Martineau), Lecture Notes in Math., vol. 287, Springer-Verlag1, Berlin, 1973, pp. 265–529.
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MR54:8747
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0277.46039
[23] P. Schapira, Front d'onde analytique au bord, II, Séminaire sur les équations aux dérivées partielles, 1985–1986, École Polytech., Palaiseau, 1986, Exp. No. XIII, 12.
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[24] P. Schapira, Microfunctions for boundary value problems, Algebraic Analysis, Vol. II, Academic Press, Boston, 1988, pp. 809–819.
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[25] H. Tahara, Fuchsian type equations and Fuchsian hyperbolic equations, Japan. J. Math. (N.S.) 5 (1979), no. 2, 245–347.
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