Derives explicit Fourier transform formulas for nilpotent coadjoint orbits, suggesting new insights into reductive Lie groups.
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.
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B. Harris (2012) studied this question.
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