Abstract
A famous theorem of Harish-Chandra asserts that all invariant eigendistributions on a semisimple Lie group are locally integrable functions. We show that this result and its extension to symmetric pairs are consequences of an algebraic property of the holonomic $\mathcal{D}$-module defined by Hotta and Kashiwara.
Citation
Esther Galina. Yves Laurent. "$\mathcal{D}$-modules and characters of semisimple Lie groups." Duke Math. J. 123 (2) 265 - 309, 1 June 2004. https://doi.org/10.1215/S0012-7094-04-12322-X
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