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The method of coadjoint orbits is adapted to sufficiently small compact subgroups of a pair (G, G+), where G is a p-adic group and G+ is the subgroup of fixed points of an involution. The techniques developed here have been used to prove local integrability of certain distributions which are fundamental in the harmonic analysis of G/G+.

Howe/Kirillov theory for 𝑝-adic symmetric spaces