Asymptotic Relations for the Distributional Stockwell and Wavelet Transforms

Veta Buralieva, Jasmina (2023) Asymptotic Relations for the Distributional Stockwell and Wavelet Transforms. Functional Analysis and its Application, 57 (1). pp. 29-39. ISSN 1573-8485 / 0016-2663 print

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Abstract

Abelian- and Tauberian-type results characterizing the quasiasymptotic behavior of distributions in $S'_{0}(R)$ 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.

Item Type: Article
Subjects: Natural sciences > Matematics
Divisions: Faculty of Natural and Technical Sciences
Depositing User: Jasmina Veta Buralieva
Date Deposited: 03 Nov 2023 08:24
Last Modified: 03 Nov 2023 08:24
URI: https://eprints.ugd.edu.mk/id/eprint/32478

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