@book{AST_1989__169-170__1_0,
author = {Babbitt, D. G. and Varadarajan, V. S.},
title = {Local moduli for meromorphic differential equations},
series = {Ast\'erisque},
year = {1989},
publisher = {Soci\'et\'e math\'ematique de France},
number = {169-170},
mrnumber = {1014083},
zbl = {0683.34003},
language = {en},
url = {https://www.numdam.org/item/AST_1989__169-170__1_0/}
}
Babbitt, D. G.; Varadarajan, V. S. Local moduli for meromorphic differential equations. Astérisque, no. 169-170 (1989), 221 p. https://www.numdam.org/item/AST_1989__169-170__1_0/
[A] , Algebraic Numbers and Algebraic Numbers, Gordon and Breach, New York 1957. | MR
[Bal] , Zum Einzigkeitssatz in der Invariantentheorie meromorpher Differentialgleichungen, Journal für die reine und angewandte Mathematik, 318 (1980), 51-82. | MR | Zbl | EuDML
[Be] , Travaux récents sur les points singuliers des équations différentielles linéaires, Sém. Bourbaki 1978/79, Exp. 525-542, Lecture Notes in Mathematics, No. 770, Springer-Verlag, 1980. | DOI | MR | Zbl | EuDML | Numdam
[BJL] , , and , A general theory of invariants for meromorphic differential equations ; Part II, Proper invariants, Funkcialaj Ekvacioj 22 (1979), 257-283. | MR | Zbl
[BM] and , Several Complex Variables, Princeton University Press, Princeton, N. J. 1948. | MR | Zbl
[Bo] , Linear Algebraic Groups, W. A. Benjamin, New York 1969. | MR | Zbl
[BV 1] and , Formal reduction of meromorphic differential equations : a group theoretic view, Pacific J. Math., 108 (1983), 1-80. | MR | Zbl | DOI
[BV 2] and , Deformations of nilpotent matrices over rings and reduction of analytic families of meromorphic differential equations, Mem. Amer. Math. Soc., Vol. 55, No. 325, 1985. | MR | Zbl
[BV 3] and , Local moduli for meromorphic differential equations, Bull. Amer. Math. Soc., 12 (New Series) (1985), 95-98. | MR | Zbl | DOI
[BV 4] and , Local moduli for meromorphic differential equations. I. The Stokes sheaf and its cohomology, UCLA Preprint, 1985. | Zbl | MR
[BV 5] and , Local isoformal deformation theory for meromorphic differential equations near an irregular singularity. Deformation theory of algebras and structures and applications, 583-700. NATO ASI Series, Series C. Mathematical and Physical Sciences - Vol. 247. (ed) Michiel Hazewinkel and Murray Gerstenhaber. Kluver Academic Publishers, 1988. | MR | Zbl | DOI
[BV 6] and , Some remarks on the asymptotic existence theorem for meromorphic differential equations, Submitted to the Journal of the Faculty of Science, University of Tokyo, Sect. I A. | MR | Zbl
[Co 1] , Formal solutions of irregular linear differential equations I, Amer. J. Math., 56 (1934), 411-437. | MR | JFM | DOI
[Co 2] , Formal solutions of irregular Inear differential equations, II, Amer. J. Math., 58 (1936), 130-140. | MR | JFM | DOI
[De 1] , Equations Différentielles à points singuliers Réguliers, Lecture Notes in Mathematics, No. 163, Springer-Verlag, 1970. | Zbl | MR
[De 2] , Letters to Malgrange, 1977-1978.
[De 3] , Letter to Varadarajan, 1986.
[Di] , Cours de Géométrie Algébrique, Presses Universitaires de France, Paris 1974. | Zbl
[DM] and , Matrices de Stokes et groupe de Galois des équations hypergéometriques confluents generalisées, to appear in the Pacific Journal of Mathematics. | MR | Zbl
[Fa] , Sur les intégrales des équations différentielles linéaires à coefficients rationnels, Thèse, Paris, 1885.
[G] , Topologie Algébrique et Théorie des Faisceaux, Hermann, Paris 1958. | MR | Zbl
[Hu 1] , Sur les points singuliers des équations différentielles linéaires, II, Jour, Fac. Sci. Hokkaido Univ, 5 (1937), 123-166. | JFM | DOI
[Hu 2] , Sur les points singuliers des équations différentielles linéaires, III, Mem. Fac. Sci. Kyushu Univ., 2 (1942), 125-137. | MR | Zbl
[J] , Meromorphe Differentialgleichungen, Lecture Notes in Mathematics, No. 637, Springer-Verlag, 1978. | MR | Zbl
[Ka] , Nilpotent connections and the monodromy theorem : application of a result of Turrittin, Pub. Math. I.H.E.S., 39 (1970), 207-238. | MR | Zbl | EuDML | Numdam
[Le] , Jordan decomposition for a class of singular differential operators, Ark. Math., 13 (1975), 1-27. | MR | Zbl | DOI
[Ma] , Moduli fuchsiani, Ann. Sc. Norm. Sup. Pisa, 19 (1965), 113-126. | MR | Zbl | EuDML | Numdam
[Maj] , Asymptotic Analysis for Integrable Connections with Irregular Singular Points, Lecture Notes in Mathematics, No. 1075, Springer-Verlag, 1984. | MR | Zbl
[Mal 1] , Sur les points singuliers des équations différentielles, L'Enseignment Math., 20, (1974), 147-176. | MR | Zbl
[Mal 2] , Sur le réduction formelle des équations à singularités irrégulières, Grenoble preprint, 1979.
[Mal 3] , Remarques sur les équations différentielles à points singulier irréguliers, in Equations Différentielles et Systèmes de Pfaff dans le champ complexe, R. Gérard et J.-P. Ramis, Eds., Lecture Notes in Mathematics No. 712, Springer-Verlag, 1979. | DOI | MR | Zbl | Numdam
[Mal 4] , La classification des connexions irréguliers à une variable, in Mathématique et Physique : Sém. Ecole Norm. Sup. 1979-82, Birkhäuser, 1983. | MR | Zbl
[Malm] , Sur l'étude analytique des solutions d'un système des équations différentielles dans le voisinage d'un point singulier d'indétermination, I, Acta Math., 73 (1940), 8-129. | MR | Zbl | JFM
, Sur l'étude analytique des solutions d'un système des équations différentielles dans le voisinage d'un point singulier d'indétermination, II, Acta Math., 74 (1941), 1-64. | MR | Zbl | JFM | DOI
, Sur l'étude analytique des solutions d'un système des équations différentielles dans le voisinage d'un point singulier d'indétermination, III, Acta Math., 74 (1941), 109-128. | MR | Zbl | JFM | DOI
[MF] and , Geometric Invariant Theory, 2nd Enl. Ed., Springer-Verlag, 1982. | MR | Zbl
[Mi] , Theory of Categories, Academic Press, New York and London 1965. | MR | Zbl
[MK] and , Complex Manifolds, Holt, Rinehart and Winston, New York 1971. | MR | Zbl
[MR] and , Problèmes de modules pour des équations différentielles non-linéaires du premier ordre, Publ. Math. I.H.E.S. 55 (1982), 63-164. | DOI | MR | Zbl | EuDML | Numdam
[Po] , Sur les intégrales des équations linéaires, Acta Math., 8 (1886), 295-344. | MR | JFM | DOI
[Ra 1] , Les series -sommables et leurs applications, in Complex Analysis, Microlocal Calculus and Relativistic Quantum Theory. Proceedings 1979, Ed. by D. Iagolnitzer, Lecture Notes in Physics, No. 126, Springer-Verlag, 1980. | MR | Zbl | DOI
[Ra 2] , Théorèmes d'indices Gevrey pour les équations différentielles ordinaires, Mem. Amer. Math Soc., Vol. 48, No. 296, 1984. | MR | Zbl
[Ra 3] , Phénomène de Stokes et resommation, C. R. Acad. Sci. Paris, t. 301, Sér.I. n° 4 (1985), 99-102. | MR | Zbl
[Ra 4] , Phénomène de Stokes et filtration Gevrey sur le groupe de Picard-Vessiot, C. R. Acad. Sci, Paris, t. 301, Sér. I, n° 5 (1985), 165-167. | MR | Zbl
[Ra-Si] and , Hukuhara's domains and fundamental existence and uniqueness theorems for asymptotic solutions of Gevrey type, To appear in Asymptotic Analysis, 2 (1), 1989. | MR | Zbl
[Ro] , Lemmes de Hensel pour les opérateurs différentials. Application à la réduction formelle des équations différentielles, L'Enseignement, 26 (1980), 279-311. | MR | Zbl
[Se] , Corps Locaux, Actualités sci. ind, 1296, Hermann, Paris 1968. | MR
[Ses] , Theory of moduli, in Proceedings of Symposia in Pure Mathematics, Vol XXIX, Amer. Math. Soc. 1975, pp. 263-304. | MR | Zbl | DOI
[Si 1] , Simplification of a System of linear ordinary differential equations about a singular point, Funkcialaj Ekvacioj, 4 (1962), 29-56. | MR | Zbl
[Si 2] , Stokes phenomena, Bull. Amer. Math. Soc, 83 (1977), 1075-1077. | MR | Zbl | DOI
[Tri] , Analytic theory of linear differential equations, Acta Math., 62 (1934), 167-226. | MR | JFM | DOI
[Tu] , Convergent solutions of ordinary differential equations in the neighborhood of an irregular singular point, Acta Math., 93 (1955), 27-66. | MR | Zbl | DOI
[V] , Lie Groups, Lie Algebras, and Their Representations, Graduate Texts in Mathematics No. 102, Springer-Verlag, 1984. | MR | Zbl
[W] , Asymptotic Expansions for Ordinary Differential Equations, Interscience, New York, 1965. | MR | Zbl
[Wa] , Introduction to Affine Group Schemes, Graduate Texts in Mathematics, No. 66, Springer-Verlag, 1979. | MR | Zbl
[WW] and , A Course in Modern Analysis. 4th Edition, Cambridge University Press, London 1963. | MR | Zbl
[ZS] and , Commutative Algebra, Vol. 1, Van Nostrand, Princeton, N.J. 1958. | MR






