Essential Whittaker functions for GL(n)

2012/01/26 by Nadir Matringe, Matringe, Nadir · 5 citations
Mathematics · #Advanced Algebra and Geometry #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1201.5506

openalex publication_date 2012/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a constructive proof of the essential Whittaker functions of GL(n,F) (also known as local new forms), using mirabolic restriction.

Citations

• On Euler Products and the Classification of Automorphic Representations I
• On Euler Products and the Classification of Automorphic Forms II
• Rankin-Selberg Convolutions

Cited by

• Local newforms for generic representations of p-adic \rm SO_2n+1: Uniqueness
• Algebraicity of adjoint L-functions for quasi-split groups
• Test vectors for local cuspidal Rankin-Selberg integrals of GL(n), and\n reduction modulo \ℓ
• A remark on conductor, depth and principal congruence subgroups
• Hecke-Maass cusp forms on PGL_n of large levels with non-vanishing L-values
• Whittaker functions associated to newforms for GL(n) over p-adic fields

Related

• Whittaker functions associated to newforms for GL(n) over p-adic fields
• Certain L²-norm and Asymptotic bounds of Whittaker Function for GL(n)
• The local period integrals and essential vectors
• Whittaker functions on metaplectic covers of GL(r)
• Whittaker functions on GL(4,R) and archimedean Bump--Friedberg integrals