Second analytic wave front set and boundary values of holomorphic functions

摘要

This paper is devoted to the study of the second analytic wave front set of boundary values of holomorphic functions. After establishing an expression of hyperfunctions without second analytic support, we give an upper bound of the second analytic wave front set of boundary values. Finally, we construct a temperate distribution with only one point in the second analytic wave front set and with a minimal analytic wave front set.