Results 41 to 50 of about 101 (82)

Division problems for Fourier ultra-hyperfunctions

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2007
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Theory of $H$-valued Fourier hyperfunctions

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1975
Ito, Yoshifumi, Nagamachi, Shigeaki
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The Theory of Vector Valued Fourier Hyperfunctions of Mixed Type, II

Publications of the Research Institute for Mathematical Sciences, 1981
The soft resolution (3: )» d) of the sheaf Ok,i of slowly increasing holomorphic functions of (&,/) type is constructed so that the section modules £F(o,p)(£) are Frechet nuclear spaces. Using the above resolution, we construct the mixed type Fourier hyperfunctions which take their values in Frechet spaces.
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Hyperfunctions and linear partial differential equations. [PDF]

Proc Natl Acad Sci U S A, 1966
Harvey R.
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Theory of General Fourier Hyperfunctions

Theory of General Fourier Hyperfunctions
In this article, we construct, by the duality method, the theory of general Fourier hyperfunctions valued in a locally convex topological vector space, which is not necessarily a Frechet space. We realize, by the duality method, general Fourier analytic-linear mappings and general Fourier hyperfunctions.
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On the structure of Fourier hyperfunctions

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1972
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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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Fourier Ultra-Hyperfunctions Valued in a Fréchet Space

Tokyo Journal of Mathematics, 1982
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Fourier Hyperfunction Semi-groups

Fourier Hyperfunction Semi-groups
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Support and kernel theorem for Fourier hyperfunctions

Support and kernel theorem for Fourier hyperfunctions
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