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In his Maryland lectures in 1983, M. Duflo stated a concrete Plancherel formula for real almost algebraic groups. The aim of this article is to sketch a proof of this formula in the philosophy of the orbit method and following the lines of the one given by M. Duflo and M. Vergne for simply connected semisimple Lie groups. The main ingredients of the proof are: Harish-Chandra’s descent method...
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