Geodesic
Fourier Transforms of Nilpotent Coadjoint Orbits for GL(n,R)
Benjamin Harris1
1Dept. of Mathematics, Louisiana State University, Baton Rouge, LA 70803, U.S.A.
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

Benjamin Harris  1

1 Dept. of Mathematics, Louisiana State University, Baton Rouge, LA 70803, U.S.A. 
Benjamin 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/JOLT_2012_22_4_a10/
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     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/JOLT_2012_22_4_a10/}
}
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