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http://dx.doi.org/10.4134/BKMS.2004.41.4.785

DENSENESS OF TEST FUNCTIONS IN THE SPACE OF EXTENDED FOURIER HYPERFUNCTIONS  

Kim, Kwang-Whoi (Department of Mathematics Education, JeonJu University)
Publication Information
Bulletin of the Korean Mathematical Society / v.41, no.4, 2004 , pp. 785-803 More about this Journal
Abstract
We research properties of analytic functions which are exponentially decreasing or increasing. Also we show that the space of test functions is dense in the space of extended Fourier hyper-functions, and that the Fourier transform of the space of extended Fourier hyperfunctions into itself is an isomorphism and Parseval's inequality holds.
Keywords
strong conjugate space; projective(inductive) limit; extended Fourier hyperfunction; convolution; Fourier(-Laplace) transform; Parseval's inequality;
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