JournalsprimsVol. 37 , No. 2DOI 10.2977/prims/1145476847

Analytic Representation of Generalized Tempered Distributions by Wavelets

  • Byung Keun Sohn

    Inje University, Kimhae, South Korea
  • Dae Hyeon Pahk

    Yonsei University, Seoul, South Korea
Analytic Representation of Generalized Tempered Distributions by Wavelets cover

Abstract

The analytic representation of the generalized tempered distributions of exponential growth, **K**p_r_', is given in terms of series of analytic wavelets. These series converge uniformly on compact subsets of the upper and lower half planes.