Huckleberry, AlanIsaev, Alexander2015-09-252015-09-250002-9939http://hdl.handle.net/1885/15699In an article from 2008 the second author introduced three families of tube domains in C with holomorphic automorphism group isomorphic to R k R and envelope of holomorphy equal to C. In the present paper we show that every domain in each of these familieWe gratefully acknowledge support of the Australian Research Council.© 2013 American Mathematical Society2013-05-0710.1090/S0002-9939-2013-11620-52015-12-11