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arXiv 2107.14760math.DSmath.LOmath.RTmath.SP
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值在圆上的可测函数群的Koopman表示的谱形式

The spectral form of Koopman representations of the group of measurable functions with values in the circle

Justin Tatch Moore, Sławomir Solecki

摘要:

我们计算由作者之前确定的$L^0(λ, {\mathbb T})$的自然布尔作用诱导的Koopman表示的谱形式。我们的计算建立了第二作者先前发现的$L^0(λ, {\mathbb T})$的Koopman表示的谱形式上的约束的清晰度。

英文摘要:

We compute the spectral form of the Koopman representation induced by a natural boolean action of $L^0(λ, {\mathbb T})$ identified earlier by the authors. Our computation establishes the sharpness of the constraints on spectral forms of Koopman representations of $L^0(λ, {\mathbb T})$ previously found by the second author.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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