Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615519 | Journal of Mathematical Analysis and Applications | 2015 | 12 Pages |
Abstract
A theorem due to Cartan asserts that every origin-preserving automorphism of bounded circular domains with respect to the origin is linear. In the present paper, by employing the theory of Bergman's representative domain, we prove that under certain circumstances Cartan's assertion remains true for quasi-circular domains in Cn. Our main result is applied to obtain some simple criterions for the case n=3 and to prove that Braun-Kaup-Upmeier's theorem remains true for our class of quasi-circular domains.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Atsushi Yamamori,