Results 31 to 40 of about 178,633 (271)

Weak stability and generalized weak convolution for random vectors and stochastic processes [PDF]

, 2006
A random vector ${\bf X}$ is weakly stable iff for all $a,b\in \mathbb{R}$ there exists a random variable $\Theta$ such that $a{\bf X}+b{\bf X}'\stackrel{d}{=}{\bf X}\Theta$.
Misiewicz, Jolanta K.
core   +2 more sources

THE CONVOLUTION OF FUNCTIONS AND DISTRIBUTIONS

Demonstratio Mathematica, 2000
\({\mathcal D}\) and \({\mathcal D}'\) are used to denote the space of infinitely differentiable functions with compact support and the space of distributions defined on \({\mathcal D}\), respectively. Following the terminologies of \textit{I. M. Gel'fand} and \textit{G. E. Shilov} [cf. their book: ``Generalized Functions. Vol.
Fisher, Brian, Liu, Zhenhai, Nicholas, Joel D.   +2 more
openaire   +2 more sources

Distributions on the circle group

Nonlinear Analysis, 2019
In this paper, we extend the definition of a random angle and the definition of a probability distribution of a random angle. We expand P. Lévy’s researches related to wrapping the probability distributions defined on R.
Simona Staskevičiūtė
doaj   +1 more source

Codomains for the Cauchy-Riemann and Laplace operators in ℝ2

Journal of Function Spaces and Applications, 2008
A codomain for a nonzero constant-coefficient linear partial differential operator P(∂) with fundamental solution E is a space of distributions T for which it is possible to define the convolution E*T and thus solving the equation P(∂)S=T.
Lloyd Edgar S. Moyo
doaj   +1 more source

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
doaj   +1 more source

Random convolution of inhomogeneous distributions with $\mathcal{O}$-exponential tail

Modern Stochastics: Theory and Applications, 2016
Let $\{\xi _{1},\xi _{2},\dots \}$ be a sequence of independent random variables (not necessarily identically distributed), and η be a counting random variable independent of this sequence. We obtain sufficient conditions on $\{\xi _{1},\xi _{2},\dots \}$
Svetlana Danilenko, Simona Paškauskaitė, Jonas Šiaulys   +2 more
doaj   +1 more source

Level of distribution of unbalanced convolutions

Annales scientifiques de l'École Normale Supérieure, 2022
36 ...
Fouvry, Étienne, Radziwill, Maksym
openaire   +3 more sources

Compatibility Conditions and the Convolution of Functions and Generalized Functions

Journal of Function Spaces and Applications, 2013
The paper is a review of certain existence theorems concerning the convolution of functions, distributions, and ultradistributions of Beurling type with supports satisfying suitable compatibility conditions.
Andrzej Kamiński, Svetlana Mincheva-Kaminska   +1 more
doaj   +1 more source

About the convolution of distributions on groupoids [PDF]

Journal of Noncommutative Geometry, 2017
We review the properties of transversality of distributions with respect to submersions. This allows us to construct a convolution product for a large class of distributions on Lie groupoids. We get a unital involutive algebra \mathcal E_{r,s}'(G,\Omega^{1/2})
Lescure, Jean-Marie, Manchon, Dominique, Vassout, Stéphane   +2 more
openaire   +2 more sources

Computing the Stationary Distribution of Queueing Systems with Random Resource Requirements via Fast Fourier Transform

Mathematics, 2020
Queueing systems with random resource requirements, in which an arriving customer, in addition to a server, demands a random amount of resources from a shared resource pool, have proved useful to analyze wireless communication networks.
Valeriy A. Naumov, Yuliya V. Gaidamaka, Konstantin E. Samouylov   +2 more
doaj   +1 more source