Analytic Representation of Generalized Tempered Distributions by Wavelets
Byung Keun Sohn, Dae Hyeon Pahk · Publications of the Research Institute for Mathematical Sciences · 2001
The analytic representation of the generalized tempered distributions of exponential growth, \mathcal 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.