The Singularity of Orbital Measures on Compact Lie Groups
نویسنده
چکیده
We find the minimal real number k such that the kth power of the Fourier transform of any continuous, orbital measure on a classical, compact Lie group belongs to l2. This results from an investigation of the pointwise behaviour of characters on these groups. An application is given to the study of Lp-improving measures.
منابع مشابه
Research Statement : Wai Ling Yee
[1] Hare, Kathryn E., Wilson, David C., and Yee, Wai Ling, Pointwise Estimates of the Size of Characters of Compact Lie Groups, Journal of the Australian Mathematics Society Series A 69 (2000), no. 1, 61–84. [2] Hare, Kathryn E. and Yee, Wai Ling, The Singularity of Orbital Measures on Compact Lie Groups, Revista Math. Iberoamericana 20 (2004), no. 2, 517–530. Broadly, this research could be de...
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