Decomposition of boundary representations on the Lobachevsky plane associated with linear bundles

Earlier we described canonical (labelled by $\lambda\in \Bbb C$) and accompanying boundary representations of the group $G={\rm {SU}} \, (1,1)$ on the Lobachevsky plane $D$ in sections of linear bundles and decomposed canonical representations into irreducible ones. Now we decompose representations acting on distributions concentrated at the boundary of $D$. In the generic case $2\lambda\notin \Bbb N$ they are diagonalizable, in the exceptional case Jordan blocks appear.