Abelian and Tauberian results for the fractional Fourier cosine (sine) transform-Reference-Cited by-同舟云学术

Abelian and Tauberian results for the fractional Fourier cosine (sine) transform

Published:2024 Issue:5 Volume:9 Page:12225-12238
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Maksimović Snježana¹,Atanasova Sanja²,Mitrović Zoran D.³,Haque Salma⁴,Mlaiki Nabil⁴

Affiliation:

1. Faculty of Architecture, Civil Engineering and Geodesy, University of Banja Luka, Stepe Stepanovića, 77/3, Banja Luka 78000, Bosnia and Hercegovina

2. Faculty of Electrical Engineering and Information Technologies, Ss. Cyril and Methodius University in Skopje, Rugjer Boshkovik 18, Skopje 1000, North Macedonia

3. Faculty of Electrical Engineering, University of Banja Luka, Patre 5, Banja Luka 78000, Bosnia and Herzegovina

4. Department of Mathematics and Sciences, Prince Sultan University, 66833 Rafha Street, Riyadh 11586, Saudi Arabia

Abstract

<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>

Publisher

American Institute of Mathematical Sciences (AIMS)

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