Let G/H be a unimodular real spherical space which is either absolutely spherical or wave-front. It is shown that every tempered representation of G/H embeds into a relative discrete series of a boundary degeneration of G/H. If in addition G/H is of wave-front type it follows that the tempered representation is parabolically induced from a discrete series representation of a lower dimensional real spherical space. Final version. To appear in Acta Math.

中文翻译：

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实球面空间的调和谱

令 G/H 是一个绝对球面或波前的单模实球面空间。结果表明，G/H 的每个回火表示都嵌入到 G/H 边界退化的相对离散系列中。此外，如果 G/H 是波前类型，则可以从低维实球面空间的离散级数表示中抛物线地推导出回火表示。最终版本。出现在 Acta Math 中。