  We use techniques of Malliavin calculus to study the convergence in law of a
family of generalized Rosenblatt processes $Z_\gamma$ with kernels defined by
parameters $\gamma$ taking values in a tetrahedral region $\Delta$ of $\RR^q$.
We prove that, as $\gamma$ converges to a face of $\Delta$, the process
$Z_\gamma$ converges to a compound Gaussian distribution with random variance
given by the square of a Rosenblatt process of one lower rank. The convergence
in law is shown to be stable. This work generalizes a previous result of Bai
and Taqqu, who proved the result in the case $q=2$ and without stability.
