An infinitesimal variant of the Guo–Jacquet trace formula, II

We establish an infinitesimal variant of Guo-Jacquet trace formula for the case a central simple algebra over number field $F$ containing quadratic extension $E/F$. It is equality between sum geometric distributions on tangent space some symmetric and its Fourier transform. To prove this, we need to define analogue Arthur's truncation then use Poisson summation formula. describe terms attached regular semi-simple orbits as explicit weighted orbital integrals. compare them those another studied in our previous work, state fundamental lemma at level by using Labesse's work base change $GL_n$.