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Holomorphic maps that extend to automorphisms of a ball. (English) Zbl 0497.32011

##### MSC:
 32D20 Removable singularities in several complex variables 32A40 Boundary behavior of holomorphic functions of several complex variables 32E35 Global boundary behavior of holomorphic functions of several complex variables
##### Keywords:
extension of holomorphic maps to automorphism
##### Citations:
Zbl 0272.32006; Zbl 0281.32019; Zbl 0366.32010
Full Text:
##### References:
 [1] H. Alexander, Holomorphic mappings from the ball and polydisc, Math. Ann. 209 (1974), 249 – 256. · Zbl 0272.32006 [2] H. Alexander, Proper holomorphic mappings in \?$$^{n}$$, Indiana Univ. Math. J. 26 (1977), no. 1, 137 – 146. · Zbl 0391.32015 [3] John Erik Fornaess, Embedding strictly pseudoconvex domains in convex domains, Amer. J. Math. 98 (1976), no. 2, 529 – 569. · Zbl 0334.32020 [4] Alexander Nagel and Walter Rudin, Moebius-invariant function spaces on balls and spheres, Duke Math. J. 43 (1976), no. 4, 841 – 865. · Zbl 0343.32017 [5] S. I. Pinčuk, On proper holomorphic mappings of strictly pseudoconvex domains, Siberian Math. J. 15 (1974), 644-649. · Zbl 0303.32016 [6] -, On the analytic continuation of holomorphic mappings, Math. USSR-Sb. 27 (1975), 375-392. · Zbl 0366.32010 [7] -, Analytic continuation of mappings along strictly pseudoconvex hypersurfaces, Soviet Math. Dokl. 18 (1977), 1237-1240. · Zbl 0425.32006 [8] Jean-Pierre Rosay, Sur une caractérisation de la boule parmi les domaines de \?$$^{n}$$ par son groupe d’automorphismes, Ann. Inst. Fourier (Grenoble) 29 (1979), no. 4, ix, 91 – 97 (French, with English summary). · Zbl 0402.32001 [9] B. Wong, Characterization of the unit ball in \?$$^{n}$$ by its automorphism group, Invent. Math. 41 (1977), no. 3, 253 – 257. · Zbl 0385.32016
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