Results 11 to 20 of about 25,032 (242)

On the Connection between Kronecker and Hadamard Convolution Products of Matrices and Some Applications

Journal of Inequalities and Applications, 2009
We are concerned with Kronecker and Hadamard convolution products and present some important connections between these two products. Further we establish some attractive inequalities for Hadamard convolution product.
Adem Kılıçman, Zeyad Al Zhour   +1 more
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Multi-Dimensional Definition of Convolution

Современные информационные технологии и IT-образование, 2021
Convolution is an indispensable operation for solving problems from a variety of subject areas: machine learning problems, data analysis, signal processing, image processing filters.
Evgeniy Goncharov
doaj   +1 more source

Implementation of (λ, µ)-Convolution Product by Means of Tensordot Operation from Libraries for Tensor Algebra

Современные информационные технологии и IT-образование, 2022
Multidimensional matrix algebra is a successful data model for problems from a variety of subject areas. Many authors have described hardware and software complexes that implement the algebra of multidimensional matrices in its entirety or parallel ...
Evgeniy I. Goncharov
doaj   +1 more source

On beta-product convolutions [PDF]

Scandinavian Actuarial Journal, 2013
12 ...
openaire   +2 more sources

Convolution Products for Hypercomplex Fourier Transforms [PDF]

Journal of Mathematical Imaging and Vision, 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, is the lack of a proper convolution theorem.
Bujack, Roxana, De Bie, Hendrik, De Schepper, Nele, Scheuermann, Gerik   +3 more
openaire   +2 more sources

Extension of generalized Fox’s H-function operator to certain set of generalized integrable functions

Advances in Difference Equations, 2020
In this article, we investigate the so-called Inayat integral operator T p , q m , n $T_{p,q}^{m,n}$ , p , q , m , n ∈ Z $p,q,m,n\in \mathbb{Z}$ , 1 ≤ m ≤ q $1\leq m\leq q$ , 0 ≤ n ≤ p $0\leq n\leq p $ , on classes of generalized integrable functions. We
Shrideh Khalaf Al-Omari
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Fast hash functions and convolution product

Journal of Mathematical Cryptology, 2014
We propose a new simple and efficient family of hash functions based on matrix-vector multiplications with a competitive software implementation. The hash design combines a hard mathematical problem based on solving a system of linear equations with ...
Omar Sami, Sabri Houssem
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Optimal codomains for the Laplace operator and the product Laplace operator

Journal of Function Spaces and Applications, 2007
An optimal codomain for an operator P (∂) with fundamental solution E, is a maximal space of distributions T for which it is possible to define the convolution E*T and thus to solve the equation P (∂)S=T.
Josefina Alvarez, Lloyd Edgar S. Moyo
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A fractional Fourier integral operator and its extension to classes of function spaces

Advances in Difference Equations, 2018
In this paper, an attempt is being made to investigate a class of fractional Fourier integral operators on classes of function spaces known as ultraBoehmians.
Shrideh K. Al-Omari
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A note on the convolution and the product in D′ and S′

International Journal of Mathematics and Mathematical Sciences, 1991
Examples of tempered distibutions are shown such that the convolution and product exist in D′ and are tempered distributions, but they do not exist in S′.
A. Kamiński, R. Rudnicki
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