Fourier Transforms of Nilpotent Coadjoint Orbits for GL(n,R)
Journal of Lie theory, Tome 22 (2012) no. 4, pp. 1125-1148
The main result of this paper is an explicit formula for the Fourier transform of the canonical measure on a nilpotent coadjoint orbit for GL(n,R). This paper also includes some results on limit formulas for reductive Lie groups including new proofs of classical limit formulas of Rao and Harish-Chandra.
Classification :
22E46, 43A65, 22E45
Mots-clés : Nilpotent Orbit, Fourier Transform, Reductive Lie Group, Limit Formula
Mots-clés : Nilpotent Orbit, Fourier Transform, Reductive Lie Group, Limit Formula
@article{JLT_2012_22_4_JLT_2012_22_4_a10,
author = {B. Harris},
title = {Fourier {Transforms} of {Nilpotent} {Coadjoint} {Orbits} for {GL(n,R)}},
journal = {Journal of Lie theory},
pages = {1125--1148},
year = {2012},
volume = {22},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JLT_2012_22_4_JLT_2012_22_4_a10/}
}
B. Harris. Fourier Transforms of Nilpotent Coadjoint Orbits for GL(n,R). Journal of Lie theory, Tome 22 (2012) no. 4, pp. 1125-1148. http://geodesic.mathdoc.fr/item/JLT_2012_22_4_JLT_2012_22_4_a10/