Journal of Lie Theory 22 (2012), No. 4, 1125--1148
Copyright Heldermann Verlag 2012
Fourier Transforms of Nilpotent Coadjoint Orbits for GL(n,R)
Dept. of Mathematics, Louisiana State University, Baton Rouge, LA 70803, U.S.A.
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.
Keywords: Nilpotent Orbit, Fourier Transform, Reductive Lie Group, Limit Formula.
MSC: 22E46; 43A65, 22E45
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