关于Dunkl交错算子表示测度绝对连续性证明的注记
Remarks on a proof of the absolute continuity of the representing measures for Dunkl's intertwining operator
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中文总结 AI 辅助
本文针对K. Trimèche关于Dunkl交错算子及其对偶表示测度绝对连续性的证明，指出其核心证明存在错误。
中文摘要 AI 辅助
在已发表论文[T10]中，K. Trimèche证明了在适当的非重数和正则参数下，Dunkl交错算子及其对偶的表示测度关于勒贝格测度绝对连续。本文指出该论文的核心证明不正确。
英文摘要
In the published paper [T10], K. Trimèche presented a proof of the statement that for suitable nonnegative multiplicities and regular arguments, the representing measures of Dunkl's intertwining operator and its dual are absolutely continuous with respect to Lebesgue measure. In this note, we argue that the essential proofs of this paper are not correct.
