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

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.


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