Analytic Representation of Generalized Tempered Distributions of Exponential Growth by Wavelets
Dae Hyeon Pahk, Byung Keun Sohn · Tsukuba Journal of Mathematics · 2003
The analytic representation of the generalized tempered distributions of $e^{M(kx)}$-growth with restricted order, $\mathscr{K}_{M}^{r'}(R)$, is given in terms of series of analytic wavelets. These series converge uniformly on compact subsets of the upper and lower half planes.