preeclampsia
发表于 2025-3-23 13:12:35
Haar MeasureIf . is a locally compact group, there is, up to a constant multiple, a unique regular Borel measure .. that is invariant under left translation. Here . means that .(.) = .(.) for all measurable sets ..
表皮
发表于 2025-3-23 17:36:00
Schur OrthogonalityIn this chapter and the next two, we will consider the representation theory of compact groups. Let us begin with a few observations about this theory and its relationship to some related theories.
Mhc-Molecule
发表于 2025-3-23 19:49:22
Compact OperatorsIf . is a normed vector space, a linear operator . is called . if there exists a constant . such that . for all .. In this case, the smallest such . is called the . of ., and is denoted |.|.
TERRA
发表于 2025-3-23 22:27:43
The Peter–Weyl TheoremIn this chapter, we assume that . is a compact group. Let .(.) be the convolution ring of continuous functions on .. It is a ring (without unit unless . is finite) under the multiplication of .:
拱墙
发表于 2025-3-24 06:00:29
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嘴唇可修剪
发表于 2025-3-24 10:10:52
The Exponential MapThe exponential map, introduced for closed Lie subgroups of . in ., can be defined for a general Lie group . as a map Lie(.) → ..
panorama
发表于 2025-3-24 13:45:15
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冲突
发表于 2025-3-24 16:44:27
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果仁
发表于 2025-3-24 20:04:27
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anaerobic
发表于 2025-3-25 00:13:16
The Universal CoverIf . is a Hausdorff topological space, a . is a continuous map . : .. The path is . if the endpoints coincide : .(0) = .(1). A closed path is also called a ..