
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.
analytic representation, Distributions and ultradistributions as boundary values of analytic functions, Numerical methods for wavelets, analytic wavelets, Nontrigonometric harmonic analysis involving wavelets and other special systems, generalized tempered distributions of exponential growth
analytic representation, Distributions and ultradistributions as boundary values of analytic functions, Numerical methods for wavelets, analytic wavelets, Nontrigonometric harmonic analysis involving wavelets and other special systems, generalized tempered distributions of exponential growth
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