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math.AP2003
Regularity of the D-module associated to a symmetric pair
Yves Laurent
The invariant eigendistributions on a reductive Lie algebra are solutions of a holonomic D-module which has been proved to be regular by Kashiwara-Hotta. We solve here a conjecture…
math.GR2003★ 1 cited
D-modules and characters of semi-simple Lie groups
Yves Laurent, Esther Galina
A celebrated theorem of Harich-Chandra asserts that all invariant eigendistributions on a semisimple Lie group are locally integrable functions. We show that this result is a conse…