圆中具有值的可测函数组的Koopman表示的谱形式

Pub Date : 2021-07-30 DOI:10.4064/cm8784-6-2022
J. Moore, Slawomir Solecki
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引用次数: 0

摘要

我们计算了由作者先前确定的L(λ,T)的自然布尔作用引起的库普曼表示的谱形式。我们的计算建立了第二作者先前发现的L(λ,T)的库普曼表示的谱形式的约束的锐度。
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The spectral form of Koopman representations of the group of measurable functions with values in the circle
We compute the spectral form of the Koopman representation induced by a natural boolean action of L(λ,T) identified earlier by the authors. Our computation establishes the sharpness of the constraints on spectral forms of Koopman representations of L(λ,T) previously found by the second author.
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