Plancherel measure for GL(n,F) and GL(m,D): explicit formulas and Bernstein decomposition

Anne-Marie Aubert, Roger Plymen

Let F be a nonarchimedean local field, let D be a division algebra over F, let GL(n) = GL(n,F). Let νdenote Plancherel measure for GL(n). Each component Ωin the Bernstein variety Ω…