Journal of the Mathematical Society of Japan

Whittaker functions associated to newforms for $GL(n)$ over $p$-adic fields

Michitaka MIYAUCHI

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Abstract

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 $GL_n(F)$. In this paper, we give an explicit formula for Whittaker functions associated to newforms on the diagonal matrices in $GL_n(F)$.

Article information

Source
J. Math. Soc. Japan, Volume 66, Number 1 (2014), 17-24.

Dates
First available in Project Euclid: 24 January 2014

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1390600834

Digital Object Identifier
doi:10.2969/jmsj/06610017

Mathematical Reviews number (MathSciNet)
MR3161390

Zentralblatt MATH identifier
1286.22014

Subjects
Primary: 22E50: Representations of Lie and linear algebraic groups over local fields [See also 20G05]
Secondary: 22E35: Analysis on $p$-adic Lie groups

Keywords
local newform Whittaker function

Citation

MIYAUCHI, Michitaka. Whittaker functions associated to newforms for $GL(n)$ over $p$-adic fields. J. Math. Soc. Japan 66 (2014), no. 1, 17--24. doi:10.2969/jmsj/06610017. https://projecteuclid.org/euclid.jmsj/1390600834


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References

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