@article {STMAZ.03908766, author = {Zhang, Yingnan}, title = {Quasi-invariant measures on $R\sp{\infty}$.}, year = {1983}, journal = {Fudan Journal. (Natural Science)}, volume = {22}, pages = {59-66}, abstract = {In this note we give some sufficient and necessary conditions for $t=(t\sb i)$ to become a quasi-invariant direction of $\mu$, where $\mu$ is a probability measure on $R\sp{\infty}$. Like H. Simomura, we define linear transformations of probability measures on $R\sp{\infty}$. We also prove that such linear transformations can be given by a quasi-linear measurable map from $R\sp{\infty}$ into $R\sp{\infty}$.}, msc2010 = {28C15 (60B05)}, identifier = {0569.28013}, }