Journal of Lie Theory

no. 4
Fourier Transforms of Nilpotent Coadjoint Orbits for GL(n,R)
Journal of Lie Theory, Volume 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.
DOI: 10.5802/jolt.709
Classification: 22E46, 43A65, 22E45
Keywords: Nilpotent Orbit, Fourier Transform, Reductive Lie Group, Limit Formula 
@article{JOLT_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},
     doi = {10.5802/jolt.709},
     zbl = {1268.22013},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.709/}
}
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B. Harris. Fourier Transforms of Nilpotent Coadjoint Orbits for GL(n,R). Journal of Lie Theory, Volume 22 (2012) no. 4, pp. 1125-1148. doi: 10.5802/jolt.709

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