an:01236488
Zbl 0911.22007
Andersen, Nils Byrial
Invariant fundamental solutions for invariant differential operators on reductive symmetric spaces of type \(G_\mathbb{C}/G_\mathbb{R}\)
FR
C. R. Acad. Sci., Paris, S??r. I, Math. 327, No. 2, 123-126 (1998).
00050322
1998
j
22E30 43A85
complex connected reductive group; differential operator; symmetric space
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 \(G/H\).