The dichotomy problem for orbital measures of SU(n)

Sanjiv Gupta, Kathryn E. Hare

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)227-238
Number of pages12
JournalMonatshefte fur Mathematik
Volume146
Issue number3
DOIs
Publication statusPublished - Nov 2005

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Keywords

  • Compact Lie group
  • Orbital measure
  • Tangent space

ASJC Scopus subject areas

  • Mathematics(all)

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