Tempered homogeneous spaces IV

Kavli Affiliate: Toshiyuki Kobayashi

| First 5 Authors: Yves Benoist, Toshiyuki Kobayashi, , ,

| Summary:

Let G be a complex semisimple Lie group and H a complex closed connected
subgroup. Let g and h be their Lie algebras. We prove that the regular
representation of G in $L^2(G/H)$ is tempered if and only if the orthogonal of
h in g contains regular elements.

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