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Denseness of test functions in the space of extended fourier hyperfunctions
김광회 대한수학회 2004 대한수학회보 Vol.41 No.4
We research properties of analytic functions which areexponentially decreasing or increasing. Also we show that thespace of test functions is dense in the space of extended Fourierhyperfunctions, and that the Fourier transform of the space ofextended Fourier hyperfunctions into itself is an isomorphism andParseval's inequality holds.