Research paper in harmonic analysis that can be read in parallel to studying the subject. In my idle hours I started to learn some math I touched only superficially in academia in former times. Among others I am working through the books of A. Deitmar on harmonic analysis. I've almost finished 'A First Course in Harmonic Analysis' and want to proceed with the other two ('Principles of H.A.' and 'Automorphe Formen').
Now, to motivate and to complement this attempt I wonder if there exist research papers in harmonic analysis / representation theory that are accessible by someone with math background but not an expert in in this realm.
I have no particular preferences but to narrow the scope something close to Selberg trace formula, Heisenberg group, SL(2,R) should do.
Thanks!
PS: Rather unexperienced with the MSE comments/corrections to improve the question are welcome. 

Read this expository paper and look up the references in the section that interests you the most. It gives an overview of the connections between shift-invariant subspaces, wavelets, and sampling, and describes some very recent work on abstract harmonic analysis. 
