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Jordan decomposition for a class of singular differential operators. (English) Zbl 0305.34008

MSC:
34M99 Ordinary differential equations in the complex domain
12H05 Differential algebra
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[1] Turrittin, H. L. Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point.Acta Math. 93 (1955), pp. 27–66. · Zbl 0064.33603
[2] Wasow, W. Asymptotic expansions for ordinary differential equations: Trends and problems. Proceedings of a Symposium conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison 1964. Edited by Calvin H. Wilcox. John Wiley and Sons. Inc. 1964. · Zbl 0136.08101
[3] Deligne, P. Equations différentielles à points singuliers réguliers. Lecture Notes in Mathematics,163 (1970). · Zbl 0244.14004
[4] Gérard, R. etLevelt, A. H. M. Invariants mesurant l’irrégularité en un point singulier des systèmes d’équations différentielles linéaires.Ann. Inst. Fourier,23 (1973), pp. 157–195.
[5] Bourbaki, N. Algèbre, Chap. 8. Modules et anneaux semi-simples, Hermann, 1958. · Zbl 0102.27203
[6] Wasow, W. Asymptotic expansions for ordinary differential equations. Interscience Publishers, 1965. · Zbl 0133.35301
[7] Serre, J-P. Corps locaux, Hermann, Paris, 1962. · Zbl 0137.02601
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