Iteration theory, compactly divergent sequences and commuting holomorphic maps

 Access to full text

 Full (PDF)

1. [A1] M. Abate, Horospheres and iterates of holomorphic maps, Math. Z.198 (1988), 225-238. Zbl0628.32035
2. [A2] M. Abate, 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. 
3. [A3] M. Abate, Common fixed points of commuting holomorphic maps, Math. Ann.283 (1989), 645-655. Zbl0646.32014
4. [A4] M. Abate, Iteration theory on weakly convex domains, To appear in Seminar in complex analysis and geometry, 1988, EditEl, Rende, Cosenza, 1990. 
5. [A5] M. Abate, Iteration theory of holomorphic maps on taut manifolds, Mediterranean Press, Rende, Cosenza, 1989. Zbl0747.32002
6. [AV] M. Abate - J.-P. Vigué, Common fixed points in hyperbolic Riemann surfaces and convex domains, To appear in Proc. Amer. Math. Soc. (1989). Zbl0724.32012
7. [B1] T.J. Barth, Taut and tight complex manifolds, Proc. Amer. Math. Soc.24 (1970), 429-431. Zbl0191.09403
8. [B2] T.J. Barth, The Kobayashi distance induces the standard topology, Proc. Amer. . Math. Soc.35 (1972), 439-441. Zbl0259.32007
9. [Be] E. Bedford, On the automorphism group of a Stein manifold, Math. Ann.266 (1983), 215-227. Zbl0532.32014MR724738
10. [B1] P. Blanchard, Complex analytic dynamics on the Riemann sphere, Bull. Amer. Math. Soc.11 (1984), 85-141. Zbl0558.58017MR741725
11. [Br] G.E. Bredon, Introduction to compact transformation groups, Academic Press, New York, 1972. Zbl0246.57017MR413144
12. [Bu] R.B. Burckel, Iterating self-maps of the disk, Amer. Math. Monthly88 (1981), 396-407. Zbl0466.30001MR622955
13. [BBD] D.E. Barrett - E. Bedford - J. Dadok, Tn-actions on holomorphically separable complex manifolds, Math. Z. 202 (1989), 65-82. Zbl0651.32007MR1007740
14. [BC] S. Bell - D. Catlin, Boundary regularity of proper holomorphic mappings, Duke Math. J.49 (1982), 385-396. Zbl0475.32011MR659947
15. [C] A Całka, On conditions under which isometries have bounded orbits, Colloq. Math.48 (1984), 219-227. Zbl0558.54021
16. [Ca] H. Cartan, Sur les rétractions d'une variété, C.R. Acad. Sci. Paris303 (1986), 715-716. Zbl0609.32021MR870703
17. [Ct] D. Catlin, Subelliptic estimates for the ∂-Neumann problem on pseudoconvex domains, Ann. of Math.126 (1987), 131-191. Zbl0627.32013
18. [D] J.-P. Demailly, Mesures de Monge-Ampère et mesures pluriharmoniques, Math. Z.194 (1987), 519-564. Zbl0595.32006MR881709
19. [De] A. Denjoy, Sur l'itération des fonctions analytiques, C.R. Acad. Sci. Paris182 (1926) 255-257. Zbl52.0309.04JFM52.0309.04
20. [FR] F. Forstneric - J.-P. Rosay, Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings, Math. Ann.279 (1987), 239-252. Zbl0644.32013MR919504
21. [H1] M.H. Heins, On the iteration of functions which are analytic and single-valued in a given multiply-connected region, Amer. J. Math.63 (1941), 461-480. Zbl0025.04601MR3806JFM67.0283.03
22. [H2] M.H. Heins, A theorem of Wolff-Denjoy type, In Complex Analysis, Birkhäuser, Basel, 1988, 81-86. Zbl0659.30037MR981403
23. [HS] M. Hakim - N. Sibony, Quelques conditions pour l'existence de fonctions pics dans des domaines pseudoconvexes, Duke Math. J.44 (1977), 399-406. Zbl0354.32028MR457784
24. [HeS] L.F. Heath - T.J. Suffridge, Holomorphic retracts in complex n-space, Illinois J. Math.25 (1981), 125-135. Zbl0463.32008MR602903
25. [K] P. Kiernan, On the relations between taut, tight and hyperbolic manifolds, Bull. Amer. Math. Soc.76 (1970), 49-51. Zbl0192.44103MR252678
26. [Ko] S. Kobayashi, Hyperbolic manifolds and holomorphic mappings, Dekker, New York, 1970. Zbl0207.37902MR277770
27. [KS] T. Kuczumow - A. Stachura, Iterates of holomorphic and kD -nonexpansive mappings in convex domains in Cn, Adv. in Math.81 (1990), 90-98. Zbl0726.32016
28. [M] D. Ma, On iterates of holomorphic maps, Preprint, 1989. 
29. [Ma] L.N. Mann, Finite orbit structure on locally compact manifolds, Michigan Math. J.9 (1962), 87-92. Zbl0111.35701MR132119
30. [Ms] W.S. Massey, Singular homology theory, Springer, Berlin, 1980. Zbl0442.55001MR569059
31. [R] R.M. Range, The Carathéodory metric and holomorphic maps on a class of weakly pseudoconvex domains, Pacific J. Math.78 (1978), 173-189. Zbl0396.32005MR513293
32. [Ro] H. Rossi, Vector fields on analytic spaces, Ann. of Math.78 (1963), 455-467. Zbl0129.29701MR162973
33. [Ru] W. Rudin, Function theory in the unit ball of Cn, Springer, Berlin, 1980. Zbl0495.32001MR601594
34. [S] P.A. Smith, New results and old problems in finite transformation groups, Bull. Amer. Math. Soc.66 (1960), 401-415. Zbl0096.37501MR125581
35. [V1] J.-P. Vigué, Points fixes d'applications holomorphes dans un domaine borné convexe de Cn, Trans. Amer. Math. Soc.289 (1984), 101-104. MR779068
36. [V2] J.-P. Vigué, Sur les points fixes d'applications holomorphes, C.R. Acad. Sci. Paris303 (1986), 927-930. Zbl0607.32016MR873396
37. [W1] J. Wolff, Sur l'itération des fonctions holomorphes dans une région, et dont les valeurs appartiennent à cette région, C.R. Acad. Sci. Paris182 (1926), 42-43. Zbl52.0309.02JFM52.0309.02
38. [W2] J. Wolff, Sur l'itération des fonctions bornées, C.R. Acad. Sci. Paris182 (1926), 200-201. Zbl52.0309.03JFM52.0309.03
39. [W3] J. Wolff, Sur une généralisation d'un théorème de Schwarz, C.R. Acad. Sci. Paris182 (1926), 918-920. Zbl52.0309.05JFM52.0309.05
40. [Wu] H.H. Wu, Normal families of holomorphic mappings, Acta Math.119 (1967), 193-233. Zbl0158.33301MR224869

1. Sergio Venturini, Continuous dynamical systems on Taut complex manifolds
2. Larbi Belkhchicha, Jean-Pierre Vigué, Itérées d’une famille analytique d’applications holomorphes et points fixes sur un produit
3. Jean-Pierre Vigué, Ensembles d'unicité pour les automorphismes et les endomorphismes analytiques d'un domaine borné
4. Xiaojun Huang, A non-degeneracy property of extremal mappings and iterates of holomorphic self-mappings
5. Kazimierz Włodarczyk, The Julia-Carathéodory theorem for distance-decreasing maps on infinite dimensional hyperbolic spaces