On Fourier transforms of distribution semigroups (Q859659)

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scientific article; zbMATH DE number 5116370
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On Fourier transforms of distribution semigroups
scientific article; zbMATH DE number 5116370

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    On Fourier transforms of distribution semigroups (English)
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    16 January 2007
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    The author of the paper under review establishes a one-to-one correspondence between Fourier transforms of ultradistribution semigroups (in the sense of Beurling) and a class of pseudoresolvents characterized by conditions concerning their domains of existence and growth.
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    test functions
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    Beurling ultradistributions
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    distribution semigroups
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    Fourier transform
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    Laplace transform
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