Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions

Atanasova, Sanja; Maksimović, Snježana; Pilipović, Stevan

doi:10.1080/10652469.2023.2255367

Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions

Journal

Integral Transforms and Special Functions

Date Issued

2023-09-06

Author(s)

Maksimović, Snježana

Pilipović, Stevan

DOI

10.1080/10652469.2023.2255367

Abstract

We 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.