is the following $$\label{e111}
\m=\{(z,s_1+is_2|z|^2,s_2-is_1|z|^2):(z,s_1,s_2)\in \C \times \R
\times \R\}$$ On this particular example, we do get holomorphic extension to [**complex transversal**]{} wedges of [**any**]{} CR distribution.

\[lader\] Let $M=\{(\m,h(\m)\}$ be a non generic CR submanifold of $\C^L$ where $\m$ is given by \[e111\], then the conclusions of theorem \[t1\] hold for CR distributions.

[**Proof of Proposition \[lader\].**]{} As seen previously, there is no loss of generality in assuming that $M=\{(\m,0)\} \subset \C^{k+m}\times \C^n$ and that if $v$ is a complex transversal vector to $M$ at the origin, then $v=(1,0,....,0)
\subset \R^n \times \{0\} \subset \C^n$. Let $f$ be a $\CC^0$ CR function on $M$, consider $\m\times
\R^n$ and the associated elliptic operator $\Delta_{\m\times
\R^n}$. As previously, we solve a Dirichlet problem with boundary data $f$. Denote the solution $S(f)$, by our previous arguments $S(f)$ is holomorphic in the variables $w$ on a neighborhood of $\Omega$ denoted $\V(\Omega)$. Note that since $\m$ contains through the origin $\C\times \{0\}$ then $\V(\Omega)$ contains $\left (\C\times \{0\}\times \R^n\right )\cap \{t_1>0\}$. Let $\U$ be a neighborhood of the origin in $\C_z$ and let $\xi$ be a smooth cut off function which is one on $\U$ and zero on a neighborhood of $\overline \U$. Set 