付出 发表于 2025-3-25 05:58:54
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https://doi.org/10.1007/978-1-4612-0049-9Operator; Transformation; calculus; geometry; linear algebra; mathematical physics; mechanics; partial diff光明正大 发表于 2025-3-25 18:36:45
IntroductionOne of the earliest and most famous examples of a generalized function or distribution is “Dirac’s delta function”. It was originally defined by Dirac (1926–1927) as a functionwith the following properties (.. is a given real number):(a) .(b) . for all sufficiently smooth functions .: ℝ → ℝ.安定 发表于 2025-3-25 21:30:11
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Other Spaces of Generalized FunctionsFor a nonempty open set Ω ⊆ ℝ. we have introduced three classes of distributions or generalized functions, distributions with compact support .’(Ω), tempered distributions .’(Ω) and general distributions .’(Ω) and we have found that these spaces of distributions are related by the inclusionsOpponent 发表于 2025-3-26 07:39:38
Direct Sums and Tensor ProductsThere are two often used constructions of forming new Hilbert spaces out of a finite or infinite set of given Hilbert spaces. Both constructions are quite important in quantum mechanics and in quantum field theory. This brief chapter introduces these constructions and discusses some examples from physics.拉开这车床 发表于 2025-3-26 10:26:48
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