TY - JOUR
T1 - Fourier transform on a cone and the minimal representation of even orthogonal group
AU - Gurevich, Nadya
AU - Kazhdan, David
N1 - Publisher Copyright:
© The Author(s) 2025.
PY - 2025/4
Y1 - 2025/4
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/105002063809
U2 - 10.1007/s11856-025-2753-y
DO - 10.1007/s11856-025-2753-y
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AN - SCOPUS:105002063809
SN - 0021-2172
VL - 266
SP - 99
EP - 130
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -