The Bessel-Plancherel theorem and applications
- Author(s): Gomez, Raul;
- et al.
/Let G be a simple Lie Group with finite center, and let K \subset G be a maximal compact subgroup. We say that G is a Lie group of tube type if G/K is a hermitian symmetric space of tube type. For such a Lie group G, we can find a parabolic subgroup P=MAN, with given Langlands decomposition, such that N is abelian, and N admits a generic character with compact stabilizer. We will call any parabolic subgroup P satisfying this properties a Siegel parabolic. Let ([pi], V) be an admissible, smooth, Fr