Geodesic
Asymptotic relations for the distributional Stockwell and wavelet transforms
Funkcionalʹnyj analiz i ego priloženiâ, Tome 57 (2023) no. 1, pp. 38-51.

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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, quasiasymptotic boundedness, quasiasymptotic behavior, Abelian and Tauberian results.
Mots-clés : distributions 
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J. V. Buralieva. Asymptotic relations for the distributional Stockwell and wavelet transforms. Funkcionalʹnyj analiz i ego priloženiâ, Tome 57 (2023) no. 1, pp. 38-51. http://geodesic.mathdoc.fr/item/FAA_2023_57_1_a2/

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