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This article is cited in 1 scientific paper (total in 1 paper)
Asymptotic relations for the distributional Stockwell and wavelet transforms
J. V. Buralieva University Goce Delcev, Faculty of Computer Science
Abstract:
Abelian- and Tauberian-type results characterizing the quasiasymptotic behavior of distributions
in $\mathcal{S}_{0}'(\mathbb{R})$ in terms of their Stockwell transforms are obtained.
An Abelian-type result relating the quasiasymptotic
boundedness of Lizorkin distributions
to the asymptotic behavior of their Stockwell transforms is given.
Several asymptotic results for the distributional
wavelet transform are also presented.
Keywords:
Stockwell transform, wavelet transform, distributions, quasiasymptotic boundedness,
quasiasymptotic behavior, Abelian and Tauberian results.
Received: 27.03.2022 Revised: 27.03.2022 Accepted: 30.11.2022
Citation:
J. V. Buralieva, “Asymptotic relations for the distributional Stockwell and wavelet transforms”, Funktsional. Anal. i Prilozhen., 57:1 (2023), 38–51; Funct. Anal. Appl., 57:1 (2023), 29–39
Linking options:
https://www.mathnet.ru/eng/faa3998https://doi.org/10.4213/faa3998 https://www.mathnet.ru/eng/faa/v57/i1/p38
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Abstract page: | 159 | Full-text PDF : | 23 | References: | 40 | First page: | 13 |
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