Fourier Transforms of Nilpotent Coadjoint Orbits for GL(n,R)

Key Points

• The main aim is to establish an explicit formula for the Fourier transform of the canonical measure on nilpotent coadjoint orbits for GL(n, R).
• Derivation of explicit Fourier transform formulas
• Examination of nilpotent coadjoint orbits
• Proof of limit formulas for reductive Lie groups
• An explicit formula for the Fourier transform was successfully derived
• New proofs of classical limit formulas by Rao and Harish-Chandra were presented