Results 21 to 30 of about 2,667,749 (348)

Weighted inequalities for Hilbert transforms and multiplicators of Fourier transforms

Journal of Inequalities and Applications, 1997
As is well known, invariant operators with a shift can be bounded from Lp into Lq only if ...
A. Meskhi, V. Kokilashvili
doaj   +2 more sources

On the Clifford-Fourier Transform [PDF]

International Mathematics Research Notices, 2011
For functions that take values in the Clifford algebra, we study the Clifford-Fourier transform on $R^m$ defined with a kernel function $K(x,y) := e^{\frac{i π}{2} Γ_{y}}e^{-i }$, replacing the kernel $e^{i }$ of the ordinary Fourier transform, where $Γ_{y} := - \sum_ ...
De Bie, Hendrik, Xu, Yuan
openaire   +3 more sources

Fractional Fourier Transform [PDF]

2001 European Control Conference (ECC), 2010
Chapter ...
Ozaktas, Haldun M., Kutay, M. Alper, Candan, Cagatay   +2 more
openaire   +5 more sources

Fractional Fourier transforms of vortex Hermite-cosh-Gaussian beams

Results in Optics, 2021
In this paper, we investigate the propagation properties of a vortex Hermite-cosh-Gaussian beam (vHChGB) passing through a fractional Fourier transform (FRFT) optical system.
E.M. El Halba, Z. Hricha, A. Belafhal
doaj   +1 more source

The Discrete Fourier Transform Over the Binary Finite Field

IEEE Access, 2023
The novel methods for binary discrete Fourier transform (DFT) computation over the finite field have been proposed. The methods are based on a binary trace calculation over the finite field and use the cyclotomic DFT.
Sergei Valentinovich Fedorenko
doaj   +1 more source

Fast Numerical Nonlinear Fourier Transforms [PDF]

IEEE Transactions on Information Theory, 2014
The nonlinear Fourier transform, which is also known as the forward scattering transform, decomposes a periodic signal into nonlinearly interacting waves.
S. Wahls, H. Poor
semanticscholar   +1 more source

Fourier Transforms

A Primer on Fourier Analysis for the Geosciences, 2018
(Here R denotes the set of real numbers, and R+ denotes the set of positive real numbers.) This series is called the real spectral-decomposition-form Fourier series of the period-p function y because of Jean Baptiste Joseph Fourier’s book on heat ...
G. Knott
semanticscholar   +1 more source

FNFT: A Software Library for Computing Nonlinear Fourier Transforms

Journal of Open Source Software, 2018
The conventional Fourier transform was originally developed in order to solve the heat equation, which is a standard example for a linear evolution equation.
S. Wahls, S. Chimmalgi, P. Prins
semanticscholar   +1 more source

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

Estimation of Translation, Rotation, and Scaling between Noisy Images Using the Fourier–Mellin Transform [PDF]

, 2009
In this paper we focus on extended Euclidean registration of a set of noisy images. We provide an appropriate statistical model for this kind of registration problems, and a new criterion based on Fourier-type transforms is proposed to estimate the ...
Gamboa, Fabrice, Vimond, Myriam, Bigot, Jérémie   +2 more
core   +1 more source