Spherical harmonics on Grassmannians
Volume 118 / 2010
Colloquium Mathematicum 118 (2010), 349-364 MSC: Primary 22E46 DOI: 10.4064/cm118-1-19
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.