Acta mathematica scientia, Series B >
THE HOLOMORPHIC AUTOMORPHISM GROUP OF HIGHER DIMENSION THULLEN DOMAIN
Received date: 2015-05-18
Revised date: 2015-12-14
Online published: 2016-10-25
Supported by
Supported by the National Natural Science Foundation of China (11571288, 11271304, 11171277).
In this paper, we give the holomorphic automorphism group of the higherdimensional generalization of Thullen domain.
Hongjun LI , Chunhui QIU . THE HOLOMORPHIC AUTOMORPHISM GROUP OF HIGHER DIMENSION THULLEN DOMAIN[J]. Acta mathematica scientia, Series B, 2016 , 36(5) : 1358 -1368 . DOI: 10.1016/S0252-9602(16)30074-1
[1] Thullen P. Zur den Abbildungen durch analytische Funktionen mehrerer komplexer Veränder-lichen. Math Ann, 1931, 104(1):244-259
[2] Cartan H. Sur les transformations analytiques des domaines cerclés et semi-cerclés bornés. Math Ann, 1932, 106(1):540-573
[3] Naruki I. The holomorphic equivalence problem for a class of Reinhardt domains. Publ RIMS, Kyoto Univ, 1968, 4A(2):527-543
[4] Sunada T. Holomorphic equivalence problem for bounded Reinhardt domains. Math Ann, 1978, 235(2):111-128
[5] Webster S. Biholomorphic mappings and the Bergman kernel off the diagonal. Invent Math, 1979, 51(2):155-169
[6] Cartan H. Sur les Groupes de Transformations Analytiques. Hermann:Act Sci Ind, 1935
[7] Cartan H. Les fonctions de deux variables complexes et le problème de la représentation analytique. Jour de Math Pures et Appl, 1931, 10(9):1-114
[8] Xu Y. Theory of Complex Homogeneous Bounded Domains. Beijing:Science Prese; Dordrecht:Kluwer Academic Publishers, 2005
[9] Xu Y. On the classification of symetric Schlicht domains in several complex variable. Shuxue Jinzhan, 1965, 8(2):109-144(Chinese)
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