3 papers
math.AP2022
Laplace hyperfunctions via Čech-Dolbeault cohomology
Naofumi Honda, Kohei Umeta
The paper studies several properties of Laplace hyperfunctions introduced by H.~Komatsu in the one dimensional case and by the authors in the higher dimensional cases from the view…
math.AG2018
Intuitive representation of local cohomology groups
Daichi Komori, Kohei Umeta
We construct a framework which gives intuitive representation of local cohomology groups. By defining the concrete mappings among them, we show their equivalence. As an application…
math.CV2015
Laplace hyperfunctions in several variables
Naofumi Honda, Kohei Umeta
We establish an edge of the wedge theorem for the sheaf of holomorphic functions with exponential growth at infinity and construct the sheaf of Laplace hyperfunctions in several va…