关于Bessel-Kingman超群上的Wiener定理
About a theorem of Wiener on the Bessel-Kingman Hypergroup
摘要:
Fournier在[2]中将Wiener关于圆群的一个定理加强并推广到局部紧阿贝尔群,Bloom/Fournier/Leinert在[1]中又进一步推广到参数α = 1 / 2的Bessel-Kingman超群.我们进一步将这个定理推广到参数α > 1 / 2的Bessel-Kingman超群.
英文摘要:
A theorem of Wiener on the circle group was strengthened and extended by Fournier in [2] to locally compact abelian groups and extended further to the Bessel-Kingman hypergroup with parameter α = 1 / 2 by Bloom/Fournier/Leinert in [1]. We further extend this theorem to Bessel-Kingman hypergroups with parameter α > 1 / 2 .
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