Directional Short-Time Fourier Transform and Quasiasymptotics of Distributions
- Authors: Buralieva J.V.1, Saneva K.2, Atanasova S.2
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Affiliations:
- Faculty of Computer Science, University Goce Delčev
- Faculty of Electrical Engineering and Information Technologies, Ss. Cyril and Methodius University
- Issue: Vol 53, No 1 (2019)
- Pages: 3-10
- Section: Article
- URL: https://journal-vniispk.ru/0016-2663/article/view/234684
- DOI: https://doi.org/10.1007/s10688-019-0244-9
- ID: 234684
Cite item
Abstract
We give an Abelian type result relating the quasiasymptotic boundedness of tempered distributions to the asymptotics of their directional short-time Fourier transform (DSTFT). We also prove several Abelian-Tauberian results characterizing the quasiasymptotic behavior of distributions in \(\mathscr{S}'\)(ℝn) in terms of their DSTFT with fixed direction.
About the authors
J. V. Buralieva
Faculty of Computer Science, University Goce Delčev
Author for correspondence.
Email: jasmina.buralieva@ugd.edu.mk
Macedonia, the former Yugoslav Republic of, Shtip
K. Saneva
Faculty of Electrical Engineering and Information Technologies, Ss. Cyril and Methodius University
Author for correspondence.
Email: saneva@feit.ukim.edu.mk
Macedonia, the former Yugoslav Republic of, Skopje
S. Atanasova
Faculty of Electrical Engineering and Information Technologies, Ss. Cyril and Methodius University
Author for correspondence.
Email: ksanja@feit.ukim.edu.mk
Macedonia, the former Yugoslav Republic of, Skopje
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