A Characterization for Fourier Hyperfunctions

  • Jaeyoung Chung

    Kunsan National University, South Korea
  • Soon-Yeong Chung

    Sogang University, Seoul, South Korea
  • Dohan Kim

    Seoul National University, South Korea


The space of test functions for Fourier hyperfunctions is characterized by two conditions sup |φ (x)| exp k|x|<∞ and sup| (ξ) | exp h|ξ|<∞ for some h,k>0. Combining this result and the new characterization of Schwartz space in [1] we can easily compare two important spaces F and S which are both invariant under Fourier transformations.

Cite this article

Jaeyoung Chung, Soon-Yeong Chung, Dohan Kim, A Characterization for Fourier Hyperfunctions. Publ. Res. Inst. Math. Sci. 30 (1994), no. 2, pp. 203–208

DOI 10.2977/PRIMS/1195166129