  We prove sharp two-sided bounds of the fundamental solution for an
integro-differential operator of order $\alpha \in (0,2)$ that generates a
$d$-dimensional Markov process. The corresponding Dirichlet form is comparable
to that of $d$ independent copies of one-dimensional jump processes, i.e., the
jumping measure is singular with respect to the $d$-dimensional Lebesgue
measure.
