Key points are not available for this paper at this time.
ABSTRACTWe introduce the fractional short-time Fourier transform in S′(R) and provide generalized asymptotics for the fractional Fourier and the short-time Fourier transforms within S′(R). Abelian- and Tauberian-type results are given.KEYWORDS: Fractional Fourier transformfractional short-time Fourier transformdistributionsAbelian and Tauberian theoremsAMS CLASSIFICATIONS: 46F1246F1040E0543A50 AcknowledgmentsThis paper was supported by the project F10 of the Serbian Academy of Sciences and Arts and by the project 'Localization in the phase space: theoretical, numerical and practical aspects', No. 19.032/961-103/19 financed by MNRVOID Republic of Srpska.Disclosure statementNo potential conflict of interest was reported by the author(s).
Atanasova et al. (2023) studied this question.