On the size of p-adic Whittaker functions

Edgar Assing

doi:10.1090/tran/7685

On the size of p-adic Whittaker functions

Edgar Assing^*

^*Corresponding author for this work

Pure Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

9 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 language	English
Pages (from-to)	5287-5340
Number of pages	54
Journal	Transactions of the American Mathematical Society
Volume	372
Issue number	8
DOIs	https://doi.org/10.1090/tran/7685
Publication status	Published - 15 Oct 2019

Keywords

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

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10.1090/tran/7685

https://arxiv.org/abs/1710.00360

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title = "On the size of p-adic Whittaker functions",

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.",

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AB - 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.

KW - Automorphic representations

KW - P-adic special functions

KW - P-adic stationary phase

KW - Whittaker new vectors

UR - https://www.scopus.com/pages/publications/85075186577

U2 - 10.1090/tran/7685

DO - 10.1090/tran/7685

M3 - Article (Academic Journal)

AN - SCOPUS:85075186577

SN - 0002-9947

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EP - 5340

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 8

ER -

On the size of p-adic Whittaker functions

Abstract

Keywords

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