  We establish an infinitesimal variant of Guo-Jacquet trace formula for the
case of $(GL_{2n,D}, GL_{n,D}\times GL_{n,D})$. It is a kind of Poisson
summation formula obtained by an analogue of Arthur's truncation process. It
consists in the equality of the sums of two types of distributions which are
non-equivariant in general: one type is associated to rational points in the
categorical quotient, while the other type is the Fourier transform of the
first type. For regular semi-simple points in the categorical quotient, we
obtain weighted orbital integrals.
