Results 31 to 40 of about 40,883 (310)

Fourier transforming a trapped Bose-Einstein condensate by waiting a quarter of the trap period: simulation and applications [PDF]

open access: yes, 2006
We investigate the property of isotropic harmonic traps to Fourier transform a weakly interacting Bose–Einstein condensate (BEC) every quarter of a trap period.
Ohberg, Patrik; id_orcid   +5 more
core   +1 more source

The Fourier transforms of Lipschitz functions on certain domains

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
The Fourier transforms of certain Lipschitz functions are discussed and compared with the Hankel transforms of these functions and with their Fourier transforms on the Euclidean Cartan Motion group M(n), n≥2.
M. S. Younis
doaj   +1 more source

New generalized Fourier transforms and their applications to ordinary, partial and fractional differential equations

open access: yesMiskolc Mathematical Notes
This article presents new generalized definitions of Fourier, Fourier sine, Fourier cosine, inverse Fourier, inverse Fourier sine and inverse Fourier cosine transforms, which encompass various studies on the generalized Fourier transforms in the existing
Enes Ata, İ. Onur Kıymaz
doaj   +1 more source

Fast Computation of Singular Oscillatory Fourier Transforms

open access: yesAbstract and Applied Analysis, 2014
We consider the problem of the numerical evaluation of singular oscillatory Fourier transforms  ∫ab‍x-aαb-xβf(x)eiωxdx, where α>-1  and  β>-1. Based on substituting the original interval of integration by the paths of steepest descent, if f is analytic ...
Hongchao Kang, Xinping Shao
doaj   +1 more source

Thermal characteristics of longitudinal fin with Fourier and non-Fourier heat transfer by Fourier sine transforms

open access: yesScientific Reports, 2021
The quest for high-performance of heat transfer components on the basis of accommodating shapes, smaller weights, lower costs and little volume has significantly diverted the industries for the enhancement of heat dissipation with variable thermal ...
Basma Souayeh, Kashif Ali Abro
doaj   +1 more source

Fourier Transforms of Finite Chirps

open access: yesEURASIP Journal on Advances in Signal Processing, 2006
Chirps arise in many signal processing applications. While chirps have been extensively studied as functions over both the real line and the integers, less attention has been paid to the study of chirps over finite groups.
Fickus Matthew, Casazza Peter G
doaj   +1 more source

A hyperkähler Fourier transform

open access: yesDifferential Geometry and its Applications, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BARTOCCI, CLAUDIO   +2 more
openaire   +3 more sources

Efficient Algorithm for Finding Roots of Error-Locator Polynomials

open access: yesIEEE Access, 2021
A novel method for finding roots of polynomials over finite fields has been proposed. This method is based on the cyclotomic discrete Fourier transform algorithm. The improvement is achieved by using the normalized cyclic convolutions, which have a small
Sergei Valentinovich Fedorenko
doaj   +1 more source

Hardy-type theorems on Fourier transforms revised [PDF]

open access: yes, 2020
We obtain new conditions on periodic integrable functions so that their transformed Fourier series belong to Lp. This improves the classical Hardy and Bellman results. A counterpart for the Fourier transforms is also established.
Nursultanov E.   +2 more
core   +3 more sources

On Katugampola Fourier Transform [PDF]

open access: yesJournal of Mathematics, 2019
The aim of this article is to introduce a new definition for the Fourier transform. This new definition will be considered as one of the generalizations of the usual (classical) Fourier transform. We employ the new Katugampola derivative to obtain some properties of the Katugampola Fourier transform and find the relation between the Katugampola Fourier
Tariq O. Salim   +2 more
openaire   +3 more sources

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