Complete Sets of Functions on Homogeneous Spaces with Compact Stabilizers
- 1 November 1970
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (11), 3176-3183
- https://doi.org/10.1063/1.1665110
Abstract
We formulate and solve the problem of determining a complete set of generalized functions for a wide class of homogeneous spaces with compact stabilizers. This allows us to say precisely what unitary irreducible representations can be realized on a given homogeneous space. The techniques are applied to the n‐dimensional orthogonal and unitary groups.Keywords
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