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MR2474319 (2009k:22022) 22E50 (20G05 20G25 22E45)
Aizenbud, Avraham; Gourevitch, Dmitry; Sayag, Eitan $({\rm GL}\sb {n+1}(F),{\rm GL}\sb n(F))$ is a Gelfand pair for any local field $F$. Compos. Math. 144 (2008), no. 6, 1504–1524.
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