Results 41 to 50 of about 4,877 (197)

$L^p$-integrability, dimensions of supports of fourier transforms and applications

open access: yes, 2014
It is proved that there does not exist any non zero function in $L^p(\R^n)$ with $1\leq p\leq 2n/\alpha$ if its Fourier transform is supported by a set of finite packing $\alpha$-measure where ...
Raani, K. S. Senthil
core   +1 more source

On PNT equivalences for Beurling numbers [PDF]

open access: yes, 2017
In classical prime number theory several asymptotic relations are considered to be "equivalent" to the prime number theorem. In the setting of Beurling generalized numbers, this may no longer be the case.
Debruyne, Gregory, Vindas Diaz, Jasson
core   +2 more sources

Markovian persuasion

open access: yesTheoretical Economics, Volume 21, Issue 1, Page 71-98, January 2026.
In the classical Bayesian persuasion model, an informed player and an uninformed one engage in a static interaction. This work extends this classical model to a dynamic setting where the state of nature evolves according to a Markovian law, allowing for a more realistic representation of real‐world situations where the state of nature evolves over time.
Ehud Lehrer, Dimitry Shaiderman
wiley   +1 more source

The convolution algebra H1(R)

open access: yesJournal of Function Spaces and Applications, 2010
H1(R) is a Banach algebra which has better mapping properties under singular integrals than L1(R) . We show that its approximate identity sequences are unbounded by constructing one unbounded approximate identity sequence {vn}.
R. L. Johnson, C. R. Warner
doaj   +1 more source

On statistical A $\mathfrak{A}$ -Cauchy and statistical A $\mathfrak{A}$ -summability via ideal

open access: yesJournal of Inequalities and Applications, 2021
The notion of statistical convergence was extended to I $\mathfrak{I}$ -convergence by (Kostyrko et al. in Real Anal. Exch. 26(2):669–686, 2000). In this paper we use such technique and introduce the notion of statistically A I $\mathfrak{A}^{\mathfrak{I}
Osama H. H. Edely, M. Mursaleen
doaj   +1 more source

Generalization of the effective Wiener-Ikehara theorem [PDF]

open access: yes, 2012
International audienceWe consider the classical Wiener–Ikehara Tauberian theorem, with a generalized condition of slow decrease and some additional poles on the boundary of convergence of the Laplace transform.
ANNE de ROTON   +4 more
core   +4 more sources

Numerical Computation of the Rosenblatt Distribution and Applications

open access: yesStat, Volume 14, Issue 4, December 2025.
ABSTRACT The Rosenblatt distribution plays a key role in the limit theorems for non‐linear functionals of stationary Gaussian processes with long‐range dependence. We derive new expressions for the characteristic function of the Rosenblatt distribution.
Nikolai N. Leonenko, Andrey Pepelyshev
wiley   +1 more source

Singular Perturbation of Nonlinear Systems with Regular Singularity

open access: yesDiscrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018
We extend Balser‐Kostov method of studying summability properties of a singularly perturbed inhomogeneous linear system with regular singularity at origin to nonlinear systems of the form εzf′ = F(ε, z, f) with F a Cν‐valued function, holomorphic in a polydisc D-ρ×D-ρ×D-ρν.
Domingos H. U. Marchetti   +2 more
wiley   +1 more source

Approximation of the semi-infinite interval

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
The approximation of a function f∈C[a,b] by Bernstein polynomials is well-known. It is based on the binomial distribution. O. Szasz has shown that there are analogous approximations on the interval [0,∞) based on the Poisson distribution.
A. McD. Mercer
doaj   +1 more source

Euclidean algorithms are Gaussian over imaginary quadratic fields

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We prove that the distribution of the number of steps of the Euclidean algorithm of rationals in imaginary quadratic fields with denominators bounded by N$N$ is asymptotically Gaussian as N$N$ goes to infinity, extending a result by Baladi and Vallée for the real case.
Dohyeong Kim, Jungwon Lee, Seonhee Lim
wiley   +1 more source

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