On the size of p-adic Whittaker functions

Edgar Assing*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)

2 Citations (Scopus)

Abstract

In this paper we tackle a question raised by N. Templier and A. Saha concerning the size of Whittaker new vectors appearing in infinite-dimensional representations of GL2 over nonarchimedean fields. We derive precise bounds for such functions in all possible situations. Our main tool is the p-adic method of stationary phase.

Original languageEnglish
Pages (from-to)5287-5340
Number of pages54
JournalTransactions of the American Mathematical Society
Volume372
Issue number8
DOIs
Publication statusPublished - 15 Oct 2019

Keywords

  • Automorphic representations
  • P-adic special functions
  • P-adic stationary phase
  • Whittaker new vectors

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