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On convolutions induced by automorphisms of the linear structure of an algebra (Q1599416)

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scientific article; zbMATH DE number 1752626
Language Label Description Also known as
English
On convolutions induced by automorphisms of the linear structure of an algebra
scientific article; zbMATH DE number 1752626

    Statements

    title
    On convolutions induced by automorphisms of the linear structure of an algebra (English)
    0 references
    author
    V. G. Chernov
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    publication date
    9 June 2002
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    review text
    In this notice a scheme is described giving a method of inversion of integral transforms, which are interpreted as multiplications in some (``convolution'') algebra. The inversion problem is reduced to the characterization of the group of units in this algebra. The inversion formula for the transforms is given and also for some particular cases is made concrete by examples from functional analysis.
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    zbMATH Keywords
    integral transforms
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    Radon transform
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    convolution
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    group of units
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    inversion formula
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    reviewed by
    A. I. Kashu
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    Identifiers

    Mathematics Subject Classification ID
    44A35
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    16U60
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    44A12
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    zbMATH DE Number
    1752626
    0 references
     
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