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- W1535253506 abstract "We solve the several complex variables preSchwarzian operator equation $[Df(z)]^{-1}D^2f(z)=A(z)$, $zin C^n$, where $A(z)$ is a bilinear operator and $f$ is a $C^n$ valued locally biholomorphic function on a domain in $C^n$. Then one can define a several variables $fto f_alpha$ transform via the operator equation $[Df_alpha(z)]^{-1}D^2f_alpha(z)=alpha[Df(z)]^{-1}D^2f(z)$, and thereby, study properties of $f_alpha$. This is a natural generalization of the one variable operator $f_alpha(z)$ in cite{DSS66} and the study of its univalence properties, e.g., the work of Royster cite{Ro65} and many others. M{o}bius invariance and the multivariables Schwarzian derivative operator of T. Oda cite{O} play a central role in this work." @default.
- W1535253506 created "2016-06-24" @default.
- W1535253506 creator A5033426791 @default.
- W1535253506 date "2010-06-17" @default.
- W1535253506 modified "2023-09-27" @default.
- W1535253506 title "Prescribing the Preschwarzian in several complex variables" @default.
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