Analytic Representation of Generalized Tempered Distributions by Wavelets
Byung Keun Sohn
Inje University, Kimhae, South Korea
Dae Hyeon Pahk
Yonsei University, Seoul, South Korea
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.