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Miyauchi, Michitaka

Whittaker functions associated to newforms for \(GL(n)\) over \(p\)-adic fields. (English) Zbl 1286.22014

J. Math. Soc. Japan 66, No. 1, 17-24 (2014).
Let \(F\) be a non-Archimedean local field of characteristic zero. Jacquet, Piatetski-Shapiro and Shalika introduced the notion of newforms for irreducible generic representations of \(GL_n(F)\). An explicit formula for Whittaker functions associated to newforms on the diagonal matrices in \(GL_n(F)\) is given.
Reviewer: L. N. Vaserstein (University Park)

Cited in 7 Documents

MSC:

22E50 Representations of Lie and linear algebraic groups over local fields

Keywords:

local newform; Whittaker function
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\textit{M. Miyauchi}, J. Math. Soc. Japan 66, No. 1, 17--24 (2014; Zbl 1286.22014)
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References:

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