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

Discretization in generalized coorbit spaces: extensions, annotations  and errata for "Continuous Frames, Function Spaces and the Discretization  Problem" by M. Fornasier and H. Rauhut