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Spherical harmonics on Grassmannians

Roger HoweSoo Teck Lee — 2010

Colloquium Mathematicae

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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