On the Solvability of Convolution Equations in Beurling's Distributions

  • Dae Hyeon Pahk

    Yonsei University, Seoul, South Korea
  • Byung Keun Sohn

    Inje University, Kimhae, South Korea

Abstract

Let be the space of Beurling's generalized distributions on and the spaces of generalized distributions which has compact support. We show that, for , is equivalent to the following: Every generalized distribution with is in .

Cite this article

Dae Hyeon Pahk, Byung Keun Sohn, On the Solvability of Convolution Equations in Beurling's Distributions. Publ. Res. Inst. Math. Sci. 32 (1996), no. 1, pp. 157–162

DOI 10.2977/PRIMS/1195163183