Dual Blobs and Plancherel Formulas

2004Bulletin de la Société mathématique de FranceMathematics被引 8开放获取

摘要

Let k be a p-adic field. Let G be the group of k-rational points of a connected reductive group G defined over k, and let g be its Lie algebra. Under certain hypotheses on G and k, we quantify the tempered dual G of G via the Plancherel formula on g, using some character expansions. This involves matching spectral decomposition factors of the Plancherel formulas on g and G. As a consequence, we prove that any tempered representation contains a good minimal K-type; we extend this result to irreducible admissible representations.

引用本文（GB/T 7714）

Ju-Lee Kim. Dual Blobs and Plancherel Formulas[J]. Bulletin de la Société mathématique de France, 2004.

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DOI：https://doi.org/10.24033/bsmf.2459

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