Theory of General Fourier Hyperfunctions

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概要

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• 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. We prove analogs of Schwartz's Kernel Theorem for them. Further we define several operations on them.

• 徳島大学の論文
• 2003-02-25

著者

• Ito Yoshifumi

  Faculty Of Integrated Arts And Sciences The University Of Tokushima

関連論文

• Theory of Infraexponential Holomorphic Functions
• Theory of (Vector-Valued) Sato Hyperfunctions on a Real-Analytic Manifold
• Theory of General Fourier Hyperfunctions
• Methods of Renormalization and Distributions

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