For many orbital measures μ, on SU(n), we show that either μk L 2 or μk is singular to L 1. The least k for which μk L 2 is determined and is shown to be the minimum k for which the k-fold product of the conjugacy class supporting the measure has positive measure. It would be interesting to know if all orbital measures satisfy this dichotomy.
|Number of pages||12|
|Journal||Monatshefte fur Mathematik|
|Publication status||Published - Nov 2005|
- Compact Lie group
- Orbital measure
- Tangent space
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