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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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References:

[1] Turrittin, H. L., Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point, Acta Math., 93, 27-66 (1955) · 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.; Levelt, A. H. M., Invariants mesurant l’irrégularité en un point singulier des systèmes d’équations différentielles linéaires, Ann. Inst. Fourier, 23, 157-195 (1973) · Zbl 0243.35016
[5] Bourbaki, N.Algèbre, Chap. 8. Modules et anneaux semi-simples, Hermann, 1958.
[6] Wasow, W.Asymptotic expansions for ordinary differential equations. Interscience Publishers, 1965. · Zbl 0133.35301
[7] Serre, J-P., Corps locaux (1962), Paris: Hermann, Paris · Zbl 0137.02601
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