Structure of Quasi-analytic Ultradistributions

  • Takashi Takiguchi

    National Defense Academy of Japan, Kanagawa, Japan


We study the structure of functions between distributions and hyperfunctions. The structure theorem is known for distributions, non-quasi-analytic ultradistributions and hyperfunctions. In this paper, we try to fill the gap among them. We prove the structure theorem for quasi-analytic ultradistributions.

Cite this article

Takashi Takiguchi, Structure of Quasi-analytic Ultradistributions. Publ. Res. Inst. Math. Sci. 43 (2007), no. 2, pp. 425–442

DOI 10.2977/PRIMS/1201011789