Geodesic
Tempered reductive homogeneous spaces
Journal of the European Mathematical Society, Tome 17 (2015) no. 12, pp. 3015-3036 Cet article a éte moissonné depuis la source EMS Press

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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 
@article{JEMS_2015_17_12_a1,
     author = {Yves Benoist and Toshiyuki Kobayashi},
     title = {Tempered reductive homogeneous spaces},
     journal = {Journal of the European Mathematical Society},
     pages = {3015--3036},
     year = {2015},
     volume = {17},
     number = {12},
     doi = {10.4171/jems/578},
     url = {http://geodesic.mathdoc.fr/articles/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

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