The Fourier Transform and Germs of Characters (Case of Gln over a p-Adic Field).
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The Capelli identity, the double commutant theorem and multiplicity-free-actions.
Spherical harmonics on Grassmannians
We propose a generalization of the theory of spherical harmonics to the context of symmetric subgroups of reductive groups acting on flag manifolds. We give some sample results for the case of the orthogonal group acting on Grassmann manifolds, especially the case of 2-planes.
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