@article{PMIHES_1994__80__95_0,
author = {Hauser, Herwig and M\"uller, Gerd},
title = {A rank theorem for analytic maps between power series spaces},
journal = {Publications Math\'ematiques de l'IH\'ES},
volume = {80},
year = {1994},
pages = {95-115},
mrnumber = {96b:46065},
zbl = {0831.58008},
language = {en},
url = {http://dml.mathdoc.fr/item/PMIHES_1994__80__95_0}
}
Hauser, Herwig; Müller, Gerd. A rank theorem for analytic maps between power series spaces. Publications Mathématiques de l'IHÉS, Tome 80 (1994) pp. 95-115. http://gdmltest.u-ga.fr/item/PMIHES_1994__80__95_0/
[A] , On the solutions of analytic equations, Invent. Math., 5 (1968), 277-291. | MR 38 #344 | Zbl 0172.05301
[BS] , , Analytic functions in topological vector spaces, Studia Math., 39 (1971), 77-112. | MR 47 #2365 | Zbl 0214.37703
[B] , Variétés différentielles et analytiques, Hermann, 1967.
[C] , Différentiation et bornologie, Thèse, Université de Bordeaux, 1973. | MR 56 #9259
[Ga] , Théorème de division et stabilité en géométrie analytique locale, Ann. Inst. Fourier, 29, 2 (1979), 107-184. | Numdam | MR 81e:32009 | Zbl 0412.32011
[Gr] , Topological vector spaces, Gordon and Breach, 1973. | MR 51 #8772 | Zbl 0275.46001
[GR] , , Analytische Stellenalgebren, Springer, 1971. | MR 47 #5290 | Zbl 0231.32001
[Ham] , The inverse function theorem of Nash and Moser, Bull. Amer. Math. Soc., 7 (1982), 65-222. | MR 83j:58014 | Zbl 0499.58003
[Hau] , La construction de la déformation semi-universelle d'un germe de variété analytique complexe, Ann. Sci. Ec. Norm. Sup. Paris (4), 18 (1985), 1-56. | Numdam | MR 87f:32029 | Zbl 0583.32052
[HM1] , , Automorphism groups in local analytic geometry, infinite dimensional Rank Theorem and Lie groups, C. R. Acad. Sci. Paris, 313 (1991), 751-756. | Zbl 0744.32017
[HM2] , , Affine varieties and Lie algebras of vector fields, Manuscr. Math., 80 (1993), 309-337. | MR 94j:17025 | Zbl 0805.14004
[He] , Analyticity in infinite dimensional spaces, Studies in Math., 10, De Gruyter, 1989. | MR 90f:46074 | Zbl 0666.58008
[L] , On the group of real analytic diffeomorphisms of a compact real analytic manifold, Trans. Amer. Math. Soc., 274 (1982), 651-669. | MR 85e:58012 | Zbl 0513.58017
[Mi] , Remarks on infinite-dimensional Lie groups, in Relativité, groupes et topologie II, Les Houches, Session XL, 1983 (eds : DE WITT et STORA), p. 1007-1057, Elsevier, 1984. | Zbl 0594.22009
[Mü1] , Reduktive Automorphismengruppen analytischer C-Algebren, J. Reine Angew. Math., 364 (1986), 26-34. | MR 88d:32041 | Zbl 0569.32003
[Mü2] , Deformations of reductive group actions, Proc. Camb. Philos. Soc., 106 (1989), 77-88. | MR 90c:32043 | Zbl 0683.32021
[P1] , An extension of the exponential of a matrix and a counter example to the inversion theorem of a holomorphic mapping in a space H(K), Rend. Mat. Appl. (6), 9 (1976), 465-475. | MR 58 #7754 | Zbl 0346.32034
[P2] , The proof of Frobenius Theorem in a Banach scale, in Functional analysis, holomorphy and approximation theory (ed. G. I. ZAPATA), p. 379-389, Marcel Dekker, 1983. | MR 84g:58099 | Zbl 0505.34049
[P3] , The proof of the Inversion Mapping Theorem in a Banach scale, in Complex analysis, functional analysis and approximation theory (ed. J. MUJICA), p. 281-285, North-Holland, 1986. | MR 88i:58012 | Zbl 0673.46020
[U] , Symmetric Banach manifolds and Jordan C*-algebras, North-Holland, 1985. | MR 87a:58022 | Zbl 0561.46032