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math.AP2004★ 1 cited
b-functions and integrable solutions of holonomic D-modules
Yves Laurent
A famous theorem of Harish-Chandra shows that all invariant eigendistributions on a semisimple Lie group are locally integrable functions. We give here an algebraic version of this…
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…