Results 21 to 30 of about 242,792 (179)

Toolbox for the Computation of 2D Fourier Transforms in Polar Coordinates via Maple

Journal of Open Research Software, 2015
The Fourier transform is one of the most useful tools in science and engineering and can be expanded to multi-dimensions and curvilinear coordinates. A toolbox of functions for the computation of two dimensional Fourier transforms in polar coordinates ...
Edem Dovlo, Natalie Baddour
doaj   +1 more source

Fractional Fourier Transform [PDF]

, 2010
Chapter ...
Ozaktas, Haldun M., Kutay, M. Alper, Candan, Cagatay   +2 more
openaire   +3 more sources

Upper bounds for Fourier transforms of exponential functions [PDF]

, 2012
Meaningful upper bounds for the Fourier transform of polynomial exponential functions are often hard to come by. Regarding Fourier transforms of rational exponential functions, which are of importance, for example in Campbell's sampling theorem, the ...
Knockaert, Luc
core   +1 more source

Fourier transforms of Lipschitz functions on the hyperbolic plane H2

International Journal of Mathematics and Mathematical Sciences, 1998
The purpose of the present work is to study the order of magnitude of the Fourier transforms fˆ(λ) for large λ of complex-valued functions f(z) sating certain Lipschitz conditions in the non-Euclidean hyperbolic plane H2.
M. S. Younis
doaj   +1 more source

Fourier transforms in generalized Fock spaces

International Journal of Mathematics and Mathematical Sciences, 1990
A classical Fock space consists of functions of the form,Φ↔(ϕ0,ϕ1,…,ϕq,…),where ϕ0∈C and ϕq∈L2(R3q), q≥1. We will replace the ϕq, q≥1 with q-symmetric rapid descent test functions within tempered distribution theory.
John Schmeelk
doaj   +1 more source

Large Fourier transforms never exactly realized by braiding conformal blocks [PDF]

, 2006
Fourier transform is an essential ingredient in Shor's factoring algorithm. In the standard quantum circuit model with the gate set $\{\U(2), \textrm{CNOT}\}$, the discrete Fourier transforms $F_N=(\omega^{ij})_{N\times N},i,j=0,1,..., N-1, \omega=e ...
M. A. Niesen, M. H. Freedman, Michael H. Freedman, S. Lang, T. W. Hungerford, V. Turaev, Zhenghan Wang   +6 more
core   +1 more source

Computation of Fourier transform representations involving the generalized Bessel matrix polynomials

Advances in Difference Equations, 2021
Motivated by the recent studies and developments of the integral transforms with various special matrix functions, including the matrix orthogonal polynomials as kernels, in this article we derive the formulas for Fourier cosine and sine transforms of ...
M. Abdalla, M. Akel
doaj   +1 more source

The Fourier transforms of Lipschitz functions on certain domains

International 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

Miskolc 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

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

Scientific 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