Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12188/33202
Title: Abelian and Tauberian results for the fractional Fourier cosine (sine) transform
Authors: Maksimović, Snježana
Atanasova, Sanja 
Mitrović, Zoran D.
Haque, Salma
Mlaiki, Nabil
Issue Date: 2024
Publisher: American Institute of Mathematical Sciences (AIMS)
Journal: AIMS Mathematics
Abstract: <jats:p xml:lang="fr"><abstract><p>In this paper, we presented Tauberian type results that intricately link the quasi-asymptotic behavior of both even and odd distributions to the corresponding asymptotic properties of their fractional Fourier cosine and sine transforms. We also obtained a structural theorem of Abelian type for the quasi-asymptotic boundedness of even (resp. odd) distributions with respect to their fractional Fourier cosine transform (FrFCT) (resp. fractional Fourier sine transform (FrFST)). In both cases, we quantified the scaling asymptotic properties of distributions by asymptotic comparisons with Karamata regularly varying functions.</p></abstract></jats:p>
URI: http://hdl.handle.net/20.500.12188/33202
DOI: 10.3934/math.2024597
Appears in Collections:Faculty of Electrical Engineering and Information Technologies: Journal Articles

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