Hangar
发表于 2025-3-25 04:40:54
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Hdl348
发表于 2025-3-25 09:12:49
Eigenvalues of Non-Singular Automorphisms,nvalue of . if there is a non-zero function .. ∈ ..(., ., .) such that ..(.) = .(.) a.e. .. We call any such .. an .. eigenfunction of . corresponding to the eigenvalue .. Since ||.. ∘ .||. = ||..||. we have |.| = 1. The collection .(.) of .. eigenvalues of . forms a subgroup of the circle group. Fu
有节制
发表于 2025-3-25 12:30:15
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OTHER
发表于 2025-3-25 16:10:00
Dual Systems of Imprimitivity,he two together yield considerable spectral information. First we recall the definition of a compact group rotation: Let . ⊆ . be a countable infinite group. Let . be the compact dual of ., where . is the group . with the discrete topology. Let . ∈ . be the element defined by .(.) = . for all . ∈ ..
两栖动物
发表于 2025-3-25 21:33:52
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micronutrients
发表于 2025-3-26 01:27:41
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马笼头
发表于 2025-3-26 07:36:47
Saturated Subgroups of the Circle Group,sures of characters in the respective spaces. We will answer this question in this chapter and discuss its relation to subgroups of the circle group such as the eigenvalue group or the group of quasi-invariance of a measure. As we saw in the previous chapters, such subgroups occur naturally in non-singular dynamics.
领先
发表于 2025-3-26 11:00:09
A Theorem of Helson and Parry, and +1. The purpose of this chapter is to prove a version of this theorem for hyperfinite actions of countable groups. The improved version is obtained by combining the method of Helson and Parry with the notion of orbit equivalence.
歌曲
发表于 2025-3-26 14:44:43
Eigenvalues of Non-Singular Automorphisms, to the eigenvalue .. Since ||.. ∘ .||. = ||..||. we have |.| = 1. The collection .(.) of .. eigenvalues of . forms a subgroup of the circle group. Further.Since . is ergodic |..| is constant a.e. .. The function . is an eigenfunction of absolute value one, with eigenvalue .
Lymphocyte
发表于 2025-3-26 19:45:17
Dual Systems of Imprimitivity, group. Let . be the compact dual of ., where . is the group . with the discrete topology. Let . ∈ . be the element defined by .(.) = . for all . ∈ .. Let . : . → . be defined by . = . + ., . ∈ .. Then the system (., .) is called a compact group rotation.