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The Fourier Transform of Semi-Simple Coadjoint Orbits

✍ Scribed by Paul-Emile Paradan

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
252 KB
Volume
163
Category
Article
ISSN
0022-1236

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✦ Synopsis

Let M be a closed coadjoint orbit of a real, connected, semi-simple Lie group G, and let F M # C & (g) G be its Fourier transform. In this paper we compute the restriction of F M to the Lie algebra k 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.

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