This article is available for purchase or by subscription. See below.
Abstract
|
We study the Braverman–Kazhdan proposal for the local spherical situation. In the
-adic
case, we give a definition of the spherical component of conjectural space
and the
-Fourier
transform kernel
,
and verify several conjectures of Braverman and Kazhdan (GAFA
2000 special volume, part I, 237–278) in this situation. In the
archimedean case, we study the asymptotic of the basic function
and the
-Fourier
transform kernel
.
|
PDF Access Denied
We have not been able to recognize your IP address
18.119.107.96
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 40.00:
Keywords
L-function, Fourier transform, Schwartz space
|
Mathematical Subject Classification 2010
Primary: 11F70, 22E45
Secondary: 22E35
|
Milestones
Received: 14 March 2018
Revised: 13 September 2018
Accepted: 13 September 2018
Published: 30 July 2019
|
|