Journal of Lie Theory 22 (2012), No. 4, 1125--1148
Copyright Heldermann Verlag 2012
Fourier Transforms of Nilpotent Coadjoint Orbits for GL(n,R)
Benjamin Harris
Dept. of Mathematics, Louisiana State University, Baton Rouge, LA 70803, U.S.A.
blharris@lsu.edu
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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