Fourier transforms on the basic affine space of a quasi-split group

Nadya Gurevich; David Kazhdan

doi:10.1007/s11856-025-2752-z

Fourier transforms on the basic affine space of a quasi-split group

Nadya Gurevich, David Kazhdan

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We extend the Gelfand and Graev construction of generalized Fourier transforms on basic affine space from split groups to quasi-split groups over a local non-archimedean field F.

Original language	English
Pages (from-to)	69-97
Number of pages	29
Journal	Israel Journal of Mathematics
Volume	266
Issue number	1
DOIs	https://doi.org/10.1007/s11856-025-2752-z
State	Published - 1 Apr 2025

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s11856-025-2752-z

Cite this

@article{827fd3acbb6247778d4085e40cb9996c,

title = "Fourier transforms on the basic affine space of a quasi-split group",

abstract = "We extend the Gelfand and Graev construction of generalized Fourier transforms on basic affine space from split groups to quasi-split groups over a local non-archimedean field F.",

author = "Nadya Gurevich and David Kazhdan",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2025.",

year = "2025",

month = apr,

day = "1",

doi = "10.1007/s11856-025-2752-z",

language = "English",

volume = "266",

pages = "69--97",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Fourier transforms on the basic affine space of a quasi-split group

AU - Gurevich, Nadya

AU - Kazhdan, David

N1 - Publisher Copyright: © The Author(s) 2025.

PY - 2025/4/1

Y1 - 2025/4/1

N2 - We extend the Gelfand and Graev construction of generalized Fourier transforms on basic affine space from split groups to quasi-split groups over a local non-archimedean field F.

AB - We extend the Gelfand and Graev construction of generalized Fourier transforms on basic affine space from split groups to quasi-split groups over a local non-archimedean field F.

UR - http://www.scopus.com/inward/record.url?scp=105002075928&partnerID=8YFLogxK

U2 - 10.1007/s11856-025-2752-z

DO - 10.1007/s11856-025-2752-z

M3 - Article

AN - SCOPUS:105002075928

SN - 0021-2172

VL - 266

SP - 69

EP - 97

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

ER -

Fourier transforms on the basic affine space of a quasi-split group

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this