Bicomplex Hyperfunctions and Bicomplex Microfunctions

Abstract

In this paper, we study bicomplex hyperfunctions introduced by Colombo et al. (Ann. Mat. Pura Appl. 190 (2011), 247–261) with functorial techniques and prove the idempotent representation theorem for them. Using the method of this paper, we can easily reconstruct the theory of bicomplex hyperfunctions and develop it into the theory of bicomplex microfunctions.