Equivariant extension of quasiconformal deformations into the complex unit ball A. KoranyiH. Reimann 32A3032A5022E3022E40complex unit ballquasiconformal mapquasiconformal deformationPoisson transform Indiana University Mathematics Journal 1998 text pdf 10.1512/iumj.1998.47.1507 10.1512/iumj.1998.47.1507 en Indiana Univ. Math. J. 47 (1998) 153 - 176 state-of-the-art mathematics http://iumj.org/access/