A Massera type theorem in hyperfunctions in the reflexive locally convex valued case


Yasunori Okada




We continue our study on Massera type theorems in hyperfunctions from [Okada, Y., Massera criterion for linear functional equations in a framework of hyperfunctions. J. Math. Sci. Univ. Tokyo, 15(1) (2008), 15--51.] and [Okada, Y., Massera type theorems in hyperfunctions with reflexive Banach values. In: Recent development of micro-local analysis for the theory of asymptotic analysis, RIMS Kôkyûroku Bessatsu, B40, pages 1--14. Res. Inst. Math. Sci. (RIMS), Kyoto, 2013.]. In the latter, we gave a result in hyperfunctions with values in a reflexive Banach space. In this article, we report its generalization to the case of hyperfunctions with values in a reflexive locally convex space.