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Bull. Korean Math. Soc. 2004; 41(4): 785-803
Printed December 1, 2004
Copyright © The Korean Mathematical Society.
Denseness of test functions in the space of extended fourier
Kwang Whoi Kim
JeonJu University,
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 hyperfunctions, 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
MSC numbers: 46F15
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