Microlocal operators with plurisubharmonic growth

Yves Laurent

Compositio Mathematica (1993)

  • Volume: 86, Issue: 1, page 23-67
  • ISSN: 0010-437X

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Laurent, Yves. "Microlocal operators with plurisubharmonic growth." Compositio Mathematica 86.1 (1993): 23-67. <http://eudml.org/doc/90210>.

@article{Laurent1993,
author = {Laurent, Yves},
journal = {Compositio Mathematica},
keywords = {2-microlocal operators; complex manifold; microlocal sheaves},
language = {eng},
number = {1},
pages = {23-67},
publisher = {Kluwer Academic Publishers},
title = {Microlocal operators with plurisubharmonic growth},
url = {http://eudml.org/doc/90210},
volume = {86},
year = {1993},
}

TY - JOUR
AU - Laurent, Yves
TI - Microlocal operators with plurisubharmonic growth
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 86
IS - 1
SP - 23
EP - 67
LA - eng
KW - 2-microlocal operators; complex manifold; microlocal sheaves
UR - http://eudml.org/doc/90210
ER -

References

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  1. [1] Andronikof, E.: Microlocalisation Tempérée des Distributions et des Fonctions Holomorphes, Thèse à l'université Paris-Nord, 1987. 
  2. [2] Aoki, T.: Invertibility for microdifferential operators of infinite order, Publ. R.I.M.S. Kyoto18 (1982), 1-29. Zbl0512.35077MR677260
  3. [3] Boutet de Monvel, L.: Opérateurs pseudo-différentiels d'ordre infini, Ann. Inst. Fourier (Grenoble), 22 (1972), 229-268. Zbl0235.47029MR341189
  4. [4] Demailly, J.P.: Analytic Geometry Vol. I, to appear. Zbl1271.14001
  5. [5] Hörmander, L.: An Introduction to Complex Analysis in Several Variables, Von Nostrand-Princeton, 1966. Zbl0138.06203MR203075
  6. [6] Kashiwara, M. and Kawaï, T.: Second microlocalization and asymptotic expansions, Lecture Notes in Physics, Springer126 (1980), 21-76. Zbl0458.46027MR579740
  7. [7] Kashiwara, M. and Laurent, Y.: Théorèmes d'annulation et deuxième microlocalisation, Preprint, Université Orsay, 1983. 
  8. [8] Kashiwara, M. and Schapira, P.: Microhyperbolic systems, Acta Math.142 (1979), 1-55. Zbl0413.35049MR512211
  9. [9] Kashiwara, M. and Schapira, P.: Microlocal study of sheaves, Astérisque128 (1985). Zbl0589.32019MR794557
  10. [10] Laurent, Y.: Théorie de la deuxième microlocalisation dans le domaine complexe, Progress in Math., Birkhäuser53 (1985). Zbl0561.32013MR776973
  11. [11] Laurent, Y.: Vanishing cycles and second microlocalization, in Algebraic Analysis Vol. I, Academic Press (1988), 381-391. Zbl0686.32008MR992469
  12. [12] Laurent, Y.: Irregular vanishing cycles of D-modules, in preparation. Zbl0940.32005
  13. [13] Malgrange, B.: Sur les points singuliers des équations différentielles, L'enseignement MathématiqueXX(1-2) (1974), 147-176. Zbl0299.34011MR368074
  14. [14] Malgrange, B.: Sur la réduction formelle des équations différentielles à singularités irrégulières, Prépublication, GrenobleI, 1979. 
  15. [15] Ramis, J.P.: Théorèmes d'indices Gevrey pour les équations différentielles ordinaires, Memoirs of A.M.S.48 (1984). Zbl0555.47020MR733946
  16. [16] Sato, M., Kawaï, T. and Kashiwara, M., Hyperfunctions and pseudo-differential equations, Lecture Notes in Math., Springer287 (1983). Zbl0277.46039MR420735
  17. [17] Grothendieck, A.: E.G.A. III, Publ. Math. IHES11 (1961). 

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