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http://dx.doi.org/10.4134/CKMS.2004.19.4.661

THE SPACE OF FOURIER HYPERFUNCTIONS AS AN INDUCTIVE LIMIT OF HILBERT SPACES  

Kim, Kwang-Whoi (Department of Mathematics Education Jeon-Ju University)
Publication Information
Communications of the Korean Mathematical Society / v.19, no.4, 2004 , pp. 661-681 More about this Journal
Abstract
We research properties of the space of measurable functions square integrable with weight exp$2\nu $\mid$x$\mid$$, and those of the space of Fourier hyperfunctions. Also we show that the several embedding theorems hold true, and that the Fourier-Lapace operator is an isomorphism of the space of strongly decreasing Fourier hyperfunctions onto the space of analytic functions extended to any strip in $C^n$ which are estimated with the aid of a special exponential function exp($\mu$｜x｜).
Keywords
Fourier hyperfunction; Fourier(-Laplace) operator; pseudodifferential operator; a countably Hilbert space; Sovolev′s embedding theorem; inductive(projective) limit;
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Times Cited By KSCI : 1  (Citation Analysis)
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