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- W2057181858 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." @default.
- W2057181858 created "2016-06-24" @default.
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- W2057181858 date "2015-06-01" @default.
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- W2057181858 title "On the linearity of origin-preserving automorphisms of quasi-circular domains in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mrow><mml:mi mathvariant=double-struck>C</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>" @default.
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- W2057181858 doi "https://doi.org/10.1016/j.jmaa.2015.01.061" @default.
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