Directional Short-Time Fourier Transform and Quasiasymptotics of Distributions


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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.

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J. Buralieva

Faculty of Computer Science, University Goce Delčev

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Email: jasmina.buralieva@ugd.edu.mk
马其顿,前南斯拉夫共和国, Shtip

K. Saneva

Faculty of Electrical Engineering and Information Technologies, Ss. Cyril and Methodius University

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Email: saneva@feit.ukim.edu.mk
马其顿,前南斯拉夫共和国, Skopje

S. Atanasova

Faculty of Electrical Engineering and Information Technologies, Ss. Cyril and Methodius University

编辑信件的主要联系方式.
Email: ksanja@feit.ukim.edu.mk
马其顿,前南斯拉夫共和国, Skopje

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