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• W2073497306 startingPage "755" @default.
• W2073497306 abstract "We introduce new subclasses of Fourier hyperfunctions of mixed type, satisfying polynomial growth conditions at infinity, and develop their sheaf and duality theory. We use Fourier transformation and duality to examine relations of these asymptotic and tempered hyperfunctions to known classes of test functions and distributions, especially the Gel'fand-Shilov spaces. Further it is shown that the asymptotic hyperfunctions, which decay faster than any negative power, are precisely the class that allows asymptotic expansions at infinity. These asymptotic expansions are carried over to the higher-dimensional case by applying the Radon transformation for hyperfunctions." @default.
• W2073497306 created "2016-06-24" @default.
• W2073497306 creator A5043760254 @default.
• W2073497306 date "2005-01-01" @default.
• W2073497306 modified "2023-09-26" @default.
• W2073497306 title "Asymptotic hyperfunctions, tempered hyperfunctions, and asymptotic expansions" @default.
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• W2073497306 doi "https://doi.org/10.1155/ijmms.2005.755" @default.
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