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Kernel Theorem for Fourier Hyperfunctions

Kernel Theorem for Fourier Hyperfunctions
An appropriate general version of the kernel theorem of L. Schwartz is formulated for Fourier hyperfunctions and a direct functional analytic proof is presented.
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Schwartz kernel theorem for the Fourier hyperfunctions [PDF]

Schwartz kernel theorem for the Fourier hyperfunctions
Kim Dohan, Chung Soon-Yeon, Lee Eun Gu
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Fourier Ultra-Hyperfunctions Valued in a Fréchet Space

Tokyo Journal of Mathematics, 1982
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Fourier ultra-hyperfunctions in the Euclidean n-space

Fourier ultra-hyperfunctions in the Euclidean n-space
application ...
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Fourier Hyperfunction Semi-groups

Fourier Hyperfunction Semi-groups
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On the Theory of Vector Valued Fourier Hyperfunctions

On the Theory of Vector Valued Fourier Hyperfunctions
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Edge of the Wedge Theorem for Fourier Hyperfunctions

Edge of the Wedge Theorem for Fourier Hyperfunctions
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Periodic Hyperfunctions and Fourier Series Fourier Series [PDF]

Mathematics and Its Application Japanese Series, 1992
We have now almost finished the general discussion of hyperfunctions. From now on we shall attempt to apply this general theory to various cases. In this chapter we study periodic hyperfunctions. Then we shall see that the theory of Fourier series is naturally absorbed into the theory of Fourier transformations.
Isao Imai, Imai Isao
exaly   +3 more sources

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Fourier analysis, distributions and hyperfunctions

Integral Transforms and Special Functions, 1998
The theory of hyperfunctions and Fourier hyperfunctions is a really natural extension of the Schwartz theory of distributions and tempered distributions. We show that the naturalness of hyperfunctions comparing our results in hyperfunctions and the corresponding results in distributions in such areas as the characterization of test function spaces in ...
Jaeyoung Chung, Soon-Yeong Chung, Dohan Kim   +2 more
exaly   +2 more sources

The structure of a convergent family of fourier hyperfunctions

Integral Transforms and Special Functions, 1998
We give the structural properties of a family of Fourier hyper-functions which converges as . The main result is also given in [5] but here we give an extended version with all the details of the proofs.
B Stanković
exaly   +2 more sources