Geodesic
Tempered reductive homogeneous spaces
Journal of the European Mathematical Society, Tome 17 (2015) no. 12, pp. 3015-3036.

Voir la notice de l'article provenant de la source EMS Press

Let G be a semisimple algebraic Lie group and H a reductive subgroup. We find geometrically the best even integer p for which the representation of G in L2(G/H) is almost Lp. As an application, we give a criterion which detects whether this representation is tempered.
DOI : 10.4171/jems/578
Classification : 22-XX, 43-XX
Keywords: Lie groups, homogeneous spaces, tempered representations, matrix coefficients, symmetric spaces 
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     author = {Yves Benoist and Toshiyuki Kobayashi},
     title = {Tempered reductive homogeneous spaces},
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     year = {2015},
     doi = {10.4171/jems/578},
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Yves Benoist; Toshiyuki Kobayashi. Tempered reductive homogeneous spaces. Journal of the European Mathematical Society, Tome 17 (2015) no. 12, pp. 3015-3036. doi : 10.4171/jems/578. http://geodesic.mathdoc.fr/articles/10.4171/jems/578/

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