Directional Short-Time Fourier Transform and Quasiasymptotics of Distributions


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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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