The Fourier transform of semi-simple coadjoint orbits
Paradan, Paul-Emile
HAL, hal-00773249 / Harvested from HAL
Text on HAL
Let M be a closed coadjoint orbit of a real, connected, semi-simple Lie group G, and let F(M) be its Fourier transform. In this paper we compute the restriction of F(M) to the Lie algebra of a maximal compact subgroup K of G. Using our technique of localization in equivariant cohomology developed recently, we extend previous results by M. Duflo, G. Heckman, M. Vergne, and I. Sengupta.
Publié le : 1999-07-05
Classification:  [MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG] 
@article{hal-00773249,
     author = {Paradan, Paul-Emile},
     title = {The Fourier transform of semi-simple coadjoint orbits},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00773249}
}

Paradan, Paul-Emile. The Fourier transform of semi-simple coadjoint orbits. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00773249/