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Reduction d’un système microdifferentiel aux points generiques. I. (French) Zbl 0484.58031


MSC:

58J99 Partial differential equations on manifolds; differential operators
58J15 Relations of PDEs on manifolds with hyperfunctions
32Q99 Complex manifolds
58J40 Pseudodifferential and Fourier integral operators on manifolds

References:

[1] B. Malgrange : L’involutivité des caractéristiques des systèmes différentiels et microdifférentiels , Séminaire Bourbaki 1977/78, n^\circ 522. · Zbl 0423.46033
[2] B. Malgrange : Sur la réduction formelle des équations différentielles à singularités irrégulières , Notes Multigraphiées , Grenoble, (1979).
[3] P. Robba : Lemmes de Hensel Pour des opérateurs différentiels , L’Enseignement mathématique, + .26 fasc. 3-4 (1980), p. 279-311. · Zbl 0466.12014
[4] M. Sato , T. Kawai et M. Kashiwara : Microfunctions and pseudo differential equations , Lecture Notes in Math., n^\circ 287 (1973), pp. 264-529, Springer. · Zbl 0277.46039
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