2022/10/09 by Naofumi Honda, Honda, Naofumi, Kohei Umeta +1
Mathematics · #Functional Equations Stability Results #Advanced Differential Equations and Dynamical Systems #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2210.04226
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 viewpoint of Čech-Dolbeault cohomology theory, which enables us, for example, to construct the Laplace transformation and its inverse in a simple way. We also give some applications to a system of PDEs with constant coefficients.