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Automorphismes analytiques des produits continus de domaines bornes. (French) Zbl 0405.32007


MSC:

32K05 Banach analytic manifolds and spaces
32H99 Holomorphic mappings and correspondences
32M99 Complex spaces with a group of automorphisms
32A05 Power series, series of functions of several complex variables
58B12 Questions of holomorphy and infinite-dimensional manifolds
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References:

[1] N. BOURBAKI , Topologie générale , Hermann, Paris. · Zbl 0337.54001
[2] E. CARTAN , Sur les domaines bornés homogènes de l’espace de n variables complexes (Abh. Math. Sem. Univ. Hamburg, vol. 11, 1936 , p. 116-162). Zbl 0011.12302 | JFM 61.0370.03 · Zbl 0011.12302 · doi:10.1007/BF02940719
[3] H. CARTAN , Sur les transformations analytiques des domaines cerclés et semi-cerclés bornés (Math. Ann., vol. 106, 1932 , p. 540-573). Zbl 0004.22002 | JFM 58.0350.02 · Zbl 0004.22002 · doi:10.1007/BF01455901
[4] H. CARTAN , Sur les fonctions de n variables complexes : les transformations du produit topologique de deux domaines bornés (Bull. Soc. math. Fr., vol. 64, 1936 , p. 37-48). Numdam | Zbl 0014.40804 | JFM 62.0399.02 · Zbl 0014.40804
[5] L. HARRIS and W. KAUP , Linear Algebraic Groups in Infinite Dimensions (à paraître dans l’Illinois J. Math.). Article | Zbl 0385.22011 · Zbl 0385.22011
[6] J.-P. VIGUÉ , Le groupe des automorphismes analytiques d’un domaine borné d’un espace de Banach complexe. Application aux domaines bornés symétriques (Ann. scient. Éc. Norm. Sup., 4e série, vol. 9, 1976 , p. 203-282). Numdam | MR 55 #3340 | Zbl 0333.32027 · Zbl 0333.32027
[7] J.-P. VIGUÉ , Les domaines bornés symétriques d’un espace de Banach complexe et les systèmes triples de Jordan (Math. Ann., vol. 229, 1977 , p. 223-231). MR 56 #5958 | Zbl 0344.32024 · Zbl 0344.32024 · doi:10.1007/BF01391467
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