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Titlebook: Analysis IV; Integration and Spec Roger Godement Textbook 2015 Springer International Publishing Switzerland 2015 compact level spaces.elli

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楼主: gingerly
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The Lebesgue-Nikodym TheoremLet . be a locally compact Polish space, λ a positive measure on . and . a locally integrable function with respect to λ [n° 5, (ii)].
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Spectral Decomposition on a Hilbert Space(i) .. Recall that a Hilbert space . is a complex vector space equipped with an “inner product” (.|.) satisfying the following conditions.
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Unitary Representations of Locally Compact GroupsAs was mentioned in n° 15 and 23, a representation of a lcg . is a homomorphism . from . to the group of invertible continuous operators of a Banach space . such that the map . is continuous for all ..
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Elliptic FunctionsLett . be two complex numbers whose ratio is not real and . the lattice of points . with ..
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,,(ℝ) as a Locally Compact Group..(ℝ) .. In the theory of modular or more generally automorphic functions, one uses the group...(ℝ) of matrices . and so ..
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Fuchsian Groups.. If . is a discrete subgroup of ., . is said to be a . of . if the stabilizer .. of . in . is not contained in {1, –1}.
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