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Tauberian theorems for distributional wavelet transform.
- Source :
- Integral Transforms & Special Functions; May2007, Vol. 18 Issue 5, p359-368, 10p
- Publication Year :
- 2007
-
Abstract
- In this paper we investigated the asymptotic behaviour at 0 and infinity of the distributional wavelet transform. Assuming that the wavelet transform Wg f(b, a) has the ordinary asymptotic behaviour at 0 (resp. at infinity) with respect to both variables (resp. to the variable b), we obtained the result for the quasiasymptotic behaviour (resp. the S-asymptotics) at 0 (resp. at infinity) of the distribution f∈S'(). Additionally, we proved that the distribution [image omitted] has the S-asymptotics at infinity equal to zero if its wavelet transform Wg f(b, a) has the S-asymptotics at infinity with respect to the variable b. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10652469
- Volume :
- 18
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Integral Transforms & Special Functions
- Publication Type :
- Academic Journal
- Accession number :
- 24905370
- Full Text :
- https://doi.org/10.1080/10652460701318095