On the theory of Radon transformations of hyperfunctions
Kiyômi Kataoka · Institutional Repositories DataBase (IRDB) · 1981
The purpose of this paper is to study hyperfunctions by using Radon transformations, which are differential forms defined on the cotangential sphere bundle with coefficients in holomorphic functions. In particular, several properties of hyperfunctions and microfunctions and operations on them stated in Sato-Kawai-Kashiwara [35] will be understood with uniformity and explicitness by them. Further we introduce a sheaf of relative microfunctions, which are important for the theory of boundary value problems, and investigate its properties. At the end we prove the interdependence of support and singular support.