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MR1377408 22E50
Lemaire, Bertrand Intégrabilité locale des caractères-distributions de ${\rm GL}_N(F)$$F$ est un corps local non-archimédien de caractéristique quelconque. (French) [Local integrability of character-distributions of ${\rm GL}_N(F)$, when $F$ is a non-Archimedean local field of any characteristic] Compositio Math. 100 (1996), no. 1, 41–75.
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