Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions
Sanja Atanasova, Snježana Maksimović, Stevan Pilipović
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.
Topics & Concepts
Fourier inversion theoremFourier transformMathematicsFourier analysisFractional Fourier transformAbelian groupFourier seriesAbelian and tauberian theoremsMathematical analysisPure mathematicsMathematical Analysis and Transform MethodsImage and Signal Denoising MethodsDigital Filter Design and Implementation