Truncated microsupport and holomorphic solutions of D-modules

Masaki Kashiwara; Teresa Monteiro Fernandes; Pierre Schapira

Annales scientifiques de l'École Normale Supérieure (2003)

  • Volume: 36, Issue: 4, page 583-599
  • ISSN: 0012-9593

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Kashiwara, Masaki, Monteiro Fernandes, Teresa, and Schapira, Pierre. "Truncated microsupport and holomorphic solutions of D-modules." Annales scientifiques de l'École Normale Supérieure 36.4 (2003): 583-599. <http://eudml.org/doc/82611>.

@article{Kashiwara2003,
author = {Kashiwara, Masaki, Monteiro Fernandes, Teresa, Schapira, Pierre},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {microsupport; D-module; perverse sheaf},
language = {eng},
number = {4},
pages = {583-599},
publisher = {Elsevier},
title = {Truncated microsupport and holomorphic solutions of D-modules},
url = {http://eudml.org/doc/82611},
volume = {36},
year = {2003},
}

TY - JOUR
AU - Kashiwara, Masaki
AU - Monteiro Fernandes, Teresa
AU - Schapira, Pierre
TI - Truncated microsupport and holomorphic solutions of D-modules
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2003
PB - Elsevier
VL - 36
IS - 4
SP - 583
EP - 599
LA - eng
KW - microsupport; D-module; perverse sheaf
UR - http://eudml.org/doc/82611
ER -

References

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  2. [2] Ebenfelt P., Khavinson D., Shapiro H., Analytic continuation of Jacobi polynomial expansions, Indag. Math. S.N.8 (1) (1997) 19-31. Zbl0879.30001MR1617790
  3. [3] Ebenfelt P., Khavinson D., Shapiro H., Extending solutions of holomorphic partial differential equations across real hypersurfaces, J. London Math. Soc. (2)57 (1998) 411-432. Zbl0933.35036MR1644225
  4. [4] Hörmander L., The Analysis of Linear Partial Differential Operators I, Grundlehren der Math. Wiss., 256, Springer-Verlag, 1983. Zbl0521.35001MR717035
  5. [5] Kashiwara M., Systems of Microdifferential Equations, Progress in Math., 34, Birkhäuser, 1983. Zbl0521.58057MR725502
  6. [6] Kashiwara M., Algebraic Analysis, in Japanese, to be translated by the AMS. 
  7. [7] Kashiwara M., Schapira P., Microlocal study of sheaves, Astérisque128 (1985). Zbl0589.32019MR794557
  8. [8] Kashiwara M., Schapira P., Sheaves on Manifolds, Grundlehren der Math. Wiss., 292, Springer-Verlag, 1990. Zbl0709.18001MR1074006
  9. [9] Leray J., Problème de Cauchy I, Soc. Math. France85 (1957) 389-430. Zbl0108.09501MR103328
  10. [10] Schapira P., Microdifferential Systems in the Complex Domain, Grundlehren der Math. Wiss., 269, Springer-Verlag, 1985. Zbl0554.32022MR774228
  11. [11] Sato M., Kawai T., Kashiwara M., Hyperfunctions and pseudodifferential equations, in: Lecture Notes in Math., 287, Springer-Verlag, 1973, pp. 265-529. Zbl0277.46039MR420735
  12. [12] Tonin F., Holomorphic extension for solutions of the characteristic Cauchy Problem, Preprint, 1998. 
  13. [13] Zerner M., Domaines d'holomorphie des fonctions vérifiant une équation aux dérivées partielles, C. R. Acad. Sci.272 (1971) 1646-1648. Zbl0213.37004MR433016

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