Results 41 to 50 of about 242,792 (179)

One dimensional fractional frequency Fourier transform by inverse difference operator

Advances in Difference Equations, 2019
This article aims to develop fractional order convolution theory to bring forth innovative methods for generating fractional Fourier transforms by having recourse to solutions for fractional difference equations.
Dumitru Baleanu, Maysaa Alqurashi, Meganathan Murugesan, Britto Antony Xavier Gnanaprakasam   +3 more
doaj   +1 more source

Composite Cyclotomic Fourier Transforms with Reduced Complexities

, 2010
Discrete Fourier transforms~(DFTs) over finite fields have widespread applications in digital communication and storage systems. Hence, reducing the computational complexities of DFTs is of great significance.
Chen, Ning, Wagh, Meghanad, Wang, Ying, Wu, Xuebin, Yan, Zhiyuan   +4 more
core   +1 more source

Ramified Fourier transform

, 2017
The Fourier transform plays a fundamental role in the modern theory of differential equations (in real domains!) due primarily to the fact that it converts equations with constant coefficients into algebraic equations. © Springer International Publishing AG 2017.
Savin A., Sternin B.
openaire   +3 more sources

Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators

Abstract and Applied Analysis, 2013
The mappings for some special functions on Cantor sets are investigated. Meanwhile, we apply the local fractional Fourier series, Fourier transforms, and Laplace transforms to solve three local fractional differential equations, and the corresponding ...
Yang Zhao, Dumitru Baleanu, Mihaela Cristina Baleanu, De-Fu Cheng, Xiao-Jun Yang   +4 more
doaj   +1 more source

Two Versions of Dunkl Linear Canonical Wavelet Transforms and Applications

Mathematics
Among the class of generalized Fourier transformations, the linear canonical transform is of crucial importance, mainly due to its higher degrees of freedom compared to the conventional Fourier and fractional Fourier transforms.
Saifallah Ghobber, Hatem Mejjaoli
doaj   +1 more source

Calculation of Fourier-Galois transforms in reduced binary number systems [PDF]

Компьютерная оптика, 2018
The paper proposes a new method for calculating Fourier-Galois transforms (number-theoretical transforms), which are a modular analog of the discrete Fourier transform.
Vladimir Chernov
doaj   +1 more source

Euler-Bessel and Euler-Fourier Transforms

, 2010
We consider a topological integral transform of Bessel (concentric isospectral sets) type and Fourier (hyperplane isospectral sets) type, using the Euler characteristic as a measure.
Baryshnikov Y, Carrara W, Goresky M, Kashiwara M, Klain D, Michael Robinson, Robert Ghrist, Schapira P, Stankwitz H Dallaire R Fienup J, Van den Dries L   +9 more
core   +2 more sources

Fourier-Transform Rheology

Macromolecular Materials and Engineering, 2002
Viscosity and the related dissipation of energy play an important role in many macroscopic and microscopic processes. As the amplitude of mechanical perturbations increases, non-linear effects become important and induces shear thinning or thickening (Malkin 1995).
openaire   +2 more sources

The Fourier Transform on Quantum Euclidean Space

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed.
Kevin Coulembier
doaj   +1 more source

Convolution products for hypercomplex Fourier transforms

, 2013
Hypercomplex Fourier transforms are increasingly used in signal processing for the analysis of higher-dimensional signals such as color images. A main stumbling block for further applications, in particular concerning filter design in the Fourier domain,
Bujack, Roxana, De Bie, Hendrik, De Schepper, Nele, Scheuermann, Gerik   +3 more
core   +1 more source