The Dichotomy Problem for Orbital Measures of SU(n)

• Autores: Sanjiv Kumar Gupta, Kathryn E. Hare
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 146, Nº 3, 2005, págs. 227-238
• Idioma: inglés
• DOI: 10.1007/s00605-005-0321-4
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• Resumen

  • For many orbital measures µ, on SU(n), we show that either µk ? L2 or µk is singular to L1. The least k for which µk ? L2 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.