Theory of (Vector-Valued) Sato Hyperfunctions on a Real-Analytic Manifold

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In this article, we realize Sato hyperfunctions and Frechet-space-valued Sato hyperfunctions on a real-analytic manifold by the algebro-analytic method. Then we prove the equivalence of the above and the correspondent realized independently by the duality method, Ito [7]. In several points, we improve the methods of proof of important theorems. Thereby the method of constructing the theory becomes clear and evident.

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