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Espaces symétriques et méthode de Kashiwara-Vergne. (Symmetric spaces and the Kashiwara-Vergne method). (French) Zbl 0612.43012
The author studies a class of symmetric spaces G/H for which the exponential mapping transforms convolution of invariant distributions into convolution on the tangent space at the origin. This holds, e.g., if G is solvable. On such spaces, invariant differential operators have an invariant fundamental solution, and harmonic analysis reduces to the usual Fourier transform on the tangent space.
Reviewer: P.Godin

MSC:
43A85 Harmonic analysis on homogeneous spaces
58J70 Invariance and symmetry properties for PDEs on manifolds
53C35 Differential geometry of symmetric spaces
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References:
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