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On some problems of tensor calculus. I. - MaRDI portal

On some problems of tensor calculus. I. (Q847935)

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scientific article; zbMATH DE number 5673496
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On some problems of tensor calculus. I.
scientific article; zbMATH DE number 5673496

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    On some problems of tensor calculus. I. (English)
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    19 February 2010
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    The author presents various problems related to tensor calculus. After presenting basis notions and definitions from linear algebra and functional analysis, he discusses the parametrization of a domain and local Hilbert modules of tensors. In the sequel, he discusses tensor modules of an even order, the ring with unit \(\mathbb{C}_{2p}(\Omega)\), and the problem of finding eigenvalues and eigentensors of a tensor of rank \(2p\).
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    tensor modules
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    local Hilbert module
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    tensor calculus
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    eigenvalues
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    eigentensors
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