Geodesic
Fourier Transforms of Nilpotent Coadjoint Orbits for GL(n,R)
Journal of Lie theory, Tome 22 (2012) no. 4, pp. 1125-1148.

Voir la notice de l'article provenant de la source Heldermann Verlag

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 
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     author = {B. Harris },
     title = {Fourier {Transforms} of {Nilpotent} {Coadjoint} {Orbits} for {GL(n,R)}},
     journal = {Journal of Lie theory},
     pages = {1125--1148},
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     number = {4},
     year = {2012},
     url = {http://geodesic.mathdoc.fr/item/JLT_2012_22_4_JLT_2012_22_4_a10/}
}
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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/