Kavli Affiliate: Toshiyuki Kobayashi
| First 5 Authors: Yves Benoist, Yui Inoue, Toshiyuki Kobayashi, ,
| Summary:
We give a necessary and sufficient condition for a pair of parabolic
subgroups $P$ and $Q$ of $G=GL_n(mathbb{R})$ such that the tensor product of
any two unitarily induced representations from $P$ and $Q$ are tempered. We
also give an $L^p$-estimate of matrix coefficients of the regular
representations on $L^2(G/L)$ when $L$ is a Levi subgroup of $G$.
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