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On the Uniqueness of the Kendall Generalized Convolution

Journal of Theoretical Probability, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jasiulis-Gołdyn, B. H.   +1 more
exaly   +3 more sources

Generalized convolutions and the integral equations of the convolution type

Complex Variables and Elliptic Equations, 2010
This article gives six new generalized convolutions of the integral transforms of Fourier type, and investigates a class of integral equations of convolution type by using the constructed convolutions. Namely, the explicit solutions in L 1(ℝ d ) of a class of integral equations of convolution type are obtained.
Nguyen Minh Tuan
exaly   +2 more sources

Generalized convolution

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Algebraic genericity and the differentiability of the convolution

Journal of Approximation Theory, 2019
The convolution of the $2$-periodic functions $f, g \in L^1[-1, 1]$ is defined as the function $(f * g)(x) = \int_{-1}^1 f(s)g(x-s)ds$. It is well known that, for instance, if $f \in C^k[-1,1]$ then $(f*g) \in C^k[-1,1]$ without any kind of requirement on $g$.
P. Jiménez-Rodríguez   +3 more
openaire   +1 more source

On the Infinitesimal Generators of Integral Convolutions

American Journal of Mathematics, 1942
Not ...
Hartman, P., Wintner, A.
openaire   +2 more sources

Generalized concatenation of convolutional codes

European Transactions on Telecommunications, 1996
AbstractGeneralized concatenation of inner and outer convolutional codes is studied. The essential problem is the partitioning of the inner code. A construction procedure to obtain a suitable equivalent description for a given code is derived, which gives the best possible distances in the partitioned subcodes. The construction rule is illustrated with
Martin Bossert   +2 more
openaire   +2 more sources

Convolutions of the generalized Morgan–Voyce polynomials

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gospava B. Djordjevic   +1 more
openaire   +3 more sources

THE SOLUTION OF THE GENERALIZED CONVOLUTION EQUATION

Mathematics of the USSR-Izvestiya, 1980
The following equation is considered: where the functions are of bounded variation on , the function having jumps at the end points. A series of elementary solutions is associated with the solution by a certain rule (MR 32 #7986). The convergence of this series is investigated.
openaire   +1 more source

Generalized Mellin Convolutions and their Asymptotic Expansions

Canadian Journal of Mathematics, 1984
A large number of important integral transforms, such as Laplace, Fourier sine and cosine, Hankel, Stieltjes, and Riemann- Liouville fractional integral transforms, can be put in the form1.1where f(t) and the kernel, h(t), are locally integrable functions on (0,∞), and x is a positive parameter. Recently, two important techniques have been developed to
Wong, R., McClure, J. P.
openaire   +2 more sources

Convolutions of Generating Operators

1994
We considered convolutions of the generalized H-transforms in Chapter 11. The main property of these convolutions is the following {fy205-1} where (H a f)(x) is the generalized H-transform with the power weight (11.1). It follows from this relation that the H-convolution (f * a )(x) is connected with some integral transform and this connection is ...
Semen B. Yakubovich, Yurii F. Luchko
openaire   +1 more source

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