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- W2112842593 abstract "Two types of classes of entire functions (W{sub {alpha}} and Z{sub {alpha}}), which are rapidly decreasing on the real axis are considered. Conditions to ensure that these classes are non-trivial are found and the classes of the corresponding Fourier transforms are described. Results on the classes Z{sub {alpha}} are applied to the question of whether a rapidly decreasing function with rapidly decreasing Fourier transform is trivial. This yields not just an extension of Morgan's well-known theorem, but also its converse. Bibliography: 18 titles." @default.
- W2112842593 created "2016-06-24" @default.
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- W2112842593 date "2008-02-28" @default.
- W2112842593 modified "2023-09-26" @default.
- W2112842593 title "Classes of entire functions that are rapidly decreasing on the real axis: theory and applications" @default.
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- W2112842593 doi "https://doi.org/10.1070/sm2008v199n01abeh003913" @default.
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