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June 2003 Analytic Representation of Generalized Tempered Distributions of Exponential Growth by Wavelets
Dae Hyeon Pahk, Byung Keun Sohn
Tsukuba J. Math. 27(1): 47-56 (June 2003). DOI: 10.21099/tkbjm/1496164559

Abstract

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.

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Dae Hyeon Pahk. Byung Keun Sohn. "Analytic Representation of Generalized Tempered Distributions of Exponential Growth by Wavelets." Tsukuba J. Math. 27 (1) 47 - 56, June 2003. https://doi.org/10.21099/tkbjm/1496164559

Information

Published: June 2003
First available in Project Euclid: 30 May 2017

zbMATH: 1043.46029
MathSciNet: MR1999234
Digital Object Identifier: 10.21099/tkbjm/1496164559

Rights: Copyright © 2003 University of Tsukuba, Institute of Mathematics

Vol.27 • No. 1 • June 2003
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