Work

Fourier transform on a cone and the minimal representation of even orthogonal group

Year: 2025

Type: article

Abstract: Let G be an even orthogonal quasi-split group defined over a local non-archimedean field F. We describe the subspace of smooth vectors of the minimal representation of G(F), realized on the space of square-integrable functions on a cone. Our main tool is the Fourier transform on the cone, for which we give an explicit formula.

Source: Israel Journal of Mathematics

DOI: 10.1007/s11856-025-2753-y

Authors: Nadya Gurevich, David Kazhdan

Institutions: Ben-Gurion University of the Negev, Hebrew University of Jerusalem

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

OpenAlex ID: W4409239407