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

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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.",

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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.

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

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