# Plancherel formula for special linear group

I am looking for a comprehensible material covering Plancherel formula for $SL(n,\mathbb{R})$ and $SL(n,\mathbb{C})$. Of course, I wouldn't mind reading an explanation for general semisimple Lie groups.

(I am reading Varadarajan's Introduction to harmonic analysis on semisimple Lie groups and I'm a bit lost there.)

• Have you already gone through the SL(2,R) case? If not, Lang's book of that name may be helpful. (I'm assuming you want to go through the details. If you just want a general overview, you could try Arthur's "Harmonic Analysis and Group Representations" article in the Notices.) – Kimball Nov 9 '10 at 14:42
• Incidentally, Arthur doesn't really deal with SL(n), but it's just a general introduction to the Plancherel formula, in a more general setting, though getting specific with certain examples like GL(n). – Kimball Nov 9 '10 at 14:47

Dym and McKean's Fourier Series and Integrals discusses the specific case of $SL(n,\mathbb{R})$ in its very last section. Although apparently not available online, the book is essentially self-contained.