“…The invertibility of the Kuznetsov formula was the key to all applications in Section 3.2. First important steps in this direction were established in [Ye,Bu2], the most complete solution is contained in [Bu3], where a general test function can be put on the long Weyl element term. As one may expect, one of the difficulties lies in the fact that the spectral side contains not only the spherical spectrum, but all weights simultaneously.…”