  During the process of writing the manuscript ["Continuous warped
time-frequency representations - Coorbit spaces and discretization", N.
Holighaus, C. Wiesmeyr and P. Balazs], the work ["Continuous Frames, Function
Spaces and the Discretization Problem" by M. Fornasier and H. Rauhut - (1)] was
one of the major foundations of our results and, naturally, we found ourselves
going back to reading that contribution once and again.
  In particular in Section 5, which is concerned with the discretization
problem, we have found some typographical errors, small inaccuracies and some
parts that we just would have wished to be slightly more accessible. Finally,
for our own theory, a generalization of a central definition required us to
verify that all the derivations in Section 5 of (1) still hold after the
necessary modifications.
  Considering the importance of the results in (1) for the community, this was
reason enough to start this side project of re-writing that least accessible
portion of Fornasier and Rauhut's manuscript, eliminating the errors we found,
adding annotations where we consider them useful and modifying the results to
take into account the generalization we require for our own work.
  What you see is the result of our endeavor, a one-to-one substitute for
Section 5 in (1).
