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

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{FAA_2023_57_1_a2,
     author = {J. V. Buralieva},
     title = {Asymptotic relations for the distributional {Stockwell} and wavelet transforms},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {38--51},
     publisher = {mathdoc},
     volume = {57},
     number = {1},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2023_57_1_a2/}
}
TY  - JOUR
AU  - J. V. Buralieva
TI  - Asymptotic relations for the distributional Stockwell and wavelet transforms
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2023
SP  - 38
EP  - 51
VL  - 57
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2023_57_1_a2/
LA  - ru
ID  - FAA_2023_57_1_a2
ER  - 
%0 Journal Article
%A J. V. Buralieva
%T Asymptotic relations for the distributional Stockwell and wavelet transforms
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2023
%P 38-51
%V 57
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2023_57_1_a2/
%G ru
%F FAA_2023_57_1_a2
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/