@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},
pages = {95--115},
year = {1994},
publisher = {Institut des Hautes Etudes Scientifiques},
volume = {80},
mrnumber = {1320605},
zbl = {0831.58008},
language = {en},
url = {https://www.numdam.org/item/PMIHES_1994__80__95_0/}
}
TY - JOUR AU - Hauser, Herwig AU - Müller, Gerd TI - A rank theorem for analytic maps between power series spaces JO - Publications Mathématiques de l'IHÉS PY - 1994 SP - 95 EP - 115 VL - 80 PB - Institut des Hautes Etudes Scientifiques UR - https://www.numdam.org/item/PMIHES_1994__80__95_0/ LA - en ID - PMIHES_1994__80__95_0 ER -
%0 Journal Article %A Hauser, Herwig %A Müller, Gerd %T A rank theorem for analytic maps between power series spaces %J Publications Mathématiques de l'IHÉS %D 1994 %P 95-115 %V 80 %I Institut des Hautes Etudes Scientifiques %U https://www.numdam.org/item/PMIHES_1994__80__95_0/ %G en %F 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. https://www.numdam.org/item/PMIHES_1994__80__95_0/
[A] , On the solutions of analytic equations, Invent. Math., 5 (1968), 277-291. | Zbl | MR
[BS] , , Analytic functions in topological vector spaces, Studia Math., 39 (1971), 77-112. | Zbl | MR
[B] , Variétés différentielles et analytiques, Hermann, 1967.
[C] , Différentiation et bornologie, Thèse, Université de Bordeaux, 1973. | MR
[Ga] , Théorème de division et stabilité en géométrie analytique locale, Ann. Inst. Fourier, 29, 2 (1979), 107-184. | Zbl | MR | Numdam
[Gr] , Topological vector spaces, Gordon and Breach, 1973. | Zbl | MR
[GR] , , Analytische Stellenalgebren, Springer, 1971. | Zbl | MR
[Ham] , The inverse function theorem of Nash and Moser, Bull. Amer. Math. Soc., 7 (1982), 65-222. | Zbl | MR
[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. | Zbl | MR | Numdam
[HM1] , , Automorphism groups in local analytic geometry, infinite dimensional Rank Theorem and Lie groups, C. R. Acad. Sci. Paris, 313 (1991), 751-756. | Zbl
[HM2] , , Affine varieties and Lie algebras of vector fields, Manuscr. Math., 80 (1993), 309-337. | Zbl | MR
[He] , Analyticity in infinite dimensional spaces, Studies in Math., 10, De Gruyter, 1989. | Zbl | MR
[L] , On the group of real analytic diffeomorphisms of a compact real analytic manifold, Trans. Amer. Math. Soc., 274 (1982), 651-669. | Zbl | MR
[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
[Mü1] , Reduktive Automorphismengruppen analytischer C-Algebren, J. Reine Angew. Math., 364 (1986), 26-34. | Zbl | MR
[Mü2] , Deformations of reductive group actions, Proc. Camb. Philos. Soc., 106 (1989), 77-88. | Zbl | MR
[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. | Zbl | MR
[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. | Zbl | MR
[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. | Zbl | MR
[U] , Symmetric Banach manifolds and Jordan C*-algebras, North-Holland, 1985. | Zbl | MR





