@article{ASNSP_1991_4_18_2_167_0, author = {Abate, Marco}, title = {Iteration theory, compactly divergent sequences and commuting holomorphic maps}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {167--191}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 18}, number = {2}, year = {1991}, mrnumber = {1129300}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1991_4_18_2_167_0/} }
TY - JOUR AU - Abate, Marco TI - Iteration theory, compactly divergent sequences and commuting holomorphic maps JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1991 SP - 167 EP - 191 VL - 18 IS - 2 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1991_4_18_2_167_0/ LA - en ID - ASNSP_1991_4_18_2_167_0 ER -
%0 Journal Article %A Abate, Marco %T Iteration theory, compactly divergent sequences and commuting holomorphic maps %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1991 %P 167-191 %V 18 %N 2 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1991_4_18_2_167_0/ %G en %F ASNSP_1991_4_18_2_167_0
Abate, Marco. Iteration theory, compactly divergent sequences and commuting holomorphic maps. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 18 (1991) no. 2, pp. 167-191. http://archive.numdam.org/item/ASNSP_1991_4_18_2_167_0/
[A1] Horospheres and iterates of holomorphic maps, Math. Z. 198 (1988), 225-238. | Zbl
,[A2] Iterates and semigroups on taut manifolds, To appear in Atti delle Giornate di Geometria Analitica e Analisi Complessa, Rocca di Papa, 1988, EditEl, Rende, Cosenza, 1990.
,[A3] Common fixed points of commuting holomorphic maps, Math. Ann. 283 (1989), 645-655. | Zbl
,[A4] Iteration theory on weakly convex domains, To appear in Seminar in complex analysis and geometry, 1988, EditEl, Rende, Cosenza, 1990.
,[A5] Iteration theory of holomorphic maps on taut manifolds, Mediterranean Press, Rende, Cosenza, 1989. | Zbl
,[AV] Common fixed points in hyperbolic Riemann surfaces and convex domains, To appear in Proc. Amer. Math. Soc. (1989). | Zbl
- ,[B1] Taut and tight complex manifolds, Proc. Amer. Math. Soc. 24 (1970), 429-431. | Zbl
,[B2] The Kobayashi distance induces the standard topology, Proc. Amer. . Math. Soc. 35 (1972), 439-441. | Zbl
,[Be] On the automorphism group of a Stein manifold, Math. Ann. 266 (1983), 215-227. | MR | Zbl
,[B1] Complex analytic dynamics on the Riemann sphere, Bull. Amer. Math. Soc. 11 (1984), 85-141. | MR | Zbl
,[Br] Introduction to compact transformation groups, Academic Press, New York, 1972. | MR | Zbl
,[Bu] Iterating self-maps of the disk, Amer. Math. Monthly 88 (1981), 396-407. | MR | Zbl
,[BBD] Tn-actions on holomorphically separable complex manifolds, Math. Z. 202 (1989), 65-82. | EuDML | MR | Zbl
- - ,[BC] Boundary regularity of proper holomorphic mappings, Duke Math. J. 49 (1982), 385-396. | MR | Zbl
- ,[C] On conditions under which isometries have bounded orbits, Colloq. Math. 48 (1984), 219-227. | EuDML | MR | Zbl
,[Ca] Sur les rétractions d'une variété, C.R. Acad. Sci. Paris 303 (1986), 715-716. | MR | Zbl
,[Ct] Subelliptic estimates for the ∂-Neumann problem on pseudoconvex domains, Ann. of Math. 126 (1987), 131-191. | MR | Zbl
,[D] Mesures de Monge-Ampère et mesures pluriharmoniques, Math. Z. 194 (1987), 519-564. | EuDML | MR | Zbl
,[De] Sur l'itération des fonctions analytiques, C.R. Acad. Sci. Paris 182 (1926) 255-257. | JFM
,[FR] Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings, Math. Ann. 279 (1987), 239-252. | EuDML | MR | Zbl
- ,[H1] On the iteration of functions which are analytic and single-valued in a given multiply-connected region, Amer. J. Math. 63 (1941), 461-480. | JFM | MR | Zbl
,[H2] A theorem of Wolff-Denjoy type, In Complex Analysis, Birkhäuser, Basel, 1988, 81-86. | MR | Zbl
,[HS] Quelques conditions pour l'existence de fonctions pics dans des domaines pseudoconvexes, Duke Math. J. 44 (1977), 399-406. | MR | Zbl
- ,[HeS] Holomorphic retracts in complex n-space, Illinois J. Math. 25 (1981), 125-135. | MR | Zbl
- ,[K] On the relations between taut, tight and hyperbolic manifolds, Bull. Amer. Math. Soc. 76 (1970), 49-51. | MR | Zbl
,[Ko] Hyperbolic manifolds and holomorphic mappings, Dekker, New York, 1970. | MR | Zbl
,[KS] Iterates of holomorphic and kD -nonexpansive mappings in convex domains in Cn, Adv. in Math. 81 (1990), 90-98. | MR | Zbl
- ,[M] On iterates of holomorphic maps, Preprint, 1989. | MR | Zbl
,[Ma] Finite orbit structure on locally compact manifolds, Michigan Math. J. 9 (1962), 87-92. | MR | Zbl
,[Ms] Singular homology theory, Springer, Berlin, 1980. | MR | Zbl
,[R] The Carathéodory metric and holomorphic maps on a class of weakly pseudoconvex domains, Pacific J. Math. 78 (1978), 173-189. | MR | Zbl
,[Ro] Vector fields on analytic spaces, Ann. of Math. 78 (1963), 455-467. | MR | Zbl
,[Ru] Function theory in the unit ball of Cn, Springer, Berlin, 1980. | MR | Zbl
,[S] New results and old problems in finite transformation groups, Bull. Amer. Math. Soc. 66 (1960), 401-415. | MR | Zbl
,[V1] Points fixes d'applications holomorphes dans un domaine borné convexe de Cn, Trans. Amer. Math. Soc. 289 (1984), 101-104. | MR
,[V2] Sur les points fixes d'applications holomorphes, C.R. Acad. Sci. Paris 303 (1986), 927-930. | MR | Zbl
,[W1] Sur l'itération des fonctions holomorphes dans une région, et dont les valeurs appartiennent à cette région, C.R. Acad. Sci. Paris 182 (1926), 42-43. | JFM
,[W2] Sur l'itération des fonctions bornées, C.R. Acad. Sci. Paris 182 (1926), 200-201. | JFM
,[W3] Sur une généralisation d'un théorème de Schwarz, C.R. Acad. Sci. Paris 182 (1926), 918-920. | JFM
,[Wu] Normal families of holomorphic mappings, Acta Math. 119 (1967), 193-233. | MR | Zbl
,