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Analytic Representation of Generalized Tempered Distributions by Wavelets

Analytic representation of generalized tempered distributions by wavelets
Authors: Sohn, Byung Keun; Pahk, Dae Hyeon;

Analytic Representation of Generalized Tempered Distributions by Wavelets

Abstract

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.

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Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
bronze