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- W2953383574 abstract "Let F be a nonarchimedean local field, let D be a division algebra over F, let GL(n) = GL(n,F). Let nu denote Plancherel measure for GL(n). Each component Omega in the Bernstein variety Omega(GL(n)) has several numerical invariants attached to it. We provide explicit formulas for the Bernstein component nu_{Omega} of Plancherel measure in terms of these invariants. We also prove some new formal degree formulas, a transfer-of-measure formula for GL(n), and a transfer-of-measure formula from GL(n,F) to GL(m,D)." @default.
- W2953383574 created "2019-06-27" @default.
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- W2953383574 date "2003-02-14" @default.
- W2953383574 modified "2023-09-25" @default.
- W2953383574 title "Plancherel measure for GL(n,F) and GL(m,D): explicit formulas and Bernstein decomposition" @default.
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