论文标题
Laplace高功能通过čech-Dolbeault的同时功能
Laplace hyperfunctions via Čech-Dolbeault cohomology
论文作者
论文摘要
本文研究了H. 〜Komatsu在一维情况下引入的Laplace超功能的几种特性，以及在较高维度的情况下，作者从čech-Dolbeault的共同论理论中，在较高的情况下，这使我们能够以简单的方式构建Laplace转换及其反向。我们还为具有恒定系数的PDE系统提供了一些应用。
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.
