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Invariant fundamental solutions for invariant differential operators on reductive symmetric spaces of type $$G_\mathbb{C}/G_\mathbb{R}$$. (Solutions élémentaires invariantes pour les opérateurs différentiels invariants sur les espaces symétriques réductifs de type $$G_\mathbb{C}/G_\mathbb{R}$$.) (French) Zbl 0911.22007
Summary: Let $$G$$ be a complex connected reductive group with simply connected derived group. Let $$H$$ be a real form of $$G$$. Let $$z$$ be a $$G$$-invariant differential operator on the reductive symmetric space $$G/H$$. We give an explicit sufficient condition for $$z$$ to have an invariant fundamental solution on $$G/H$$.

##### MSC:
 22E30 Analysis on real and complex Lie groups 43A85 Harmonic analysis on homogeneous spaces
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