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Tauberian conditions for 𝐿¹-convergence of Fourier series [PDF]

Transactions of the American Mathematical Society, 1982
It is proved that Fourier series with asymptotically even coefficients and satisfying lim λ → 1 lim sup n → ∞ ∑
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Markovian persuasion

Theoretical 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

Solyanik estimates in harmonic analysis

, 2014
Let $\mathcal{B}$ denote a collection of open bounded sets in $\mathbb{R}^n$, and define the associated maximal operator $M_{\mathcal{B}}$ by $$ M_{\mathcal{B}}f(x) := \sup_{x \in R \in \mathcal{B}} \frac{1}{|R|}\int_R |f|.
A. Córdoba, A. Córdoba, O.V. Beznosova, P.A. Hagelstein   +3 more
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Numerical Computation of the Rosenblatt Distribution and Applications

Stat, 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

Convergence Rates and Limit Theorems for the Dual Markov Branching Process

Journal of Probability and Statistics, Volume 2017, Issue 1, 2017., 2017
This paper studies aspects of the Siegmund dual of the Markov branching process. The principal results are optimal convergence rates of its transition function and limit theorems in the case that it is not positive recurrent. Additional discussion is given about specifications of the Markov branching process and its dual. The dualising Markov branching
Anthony G. Pakes, Ramón M. Rodríguez-Dagnino   +1 more
wiley   +1 more source

Applications of Tauberian Theorem for High-SNR Analysis of Performance over Fading Channels

, 2011
This paper derives high-SNR asymptotic average error rates over fading channels by relating them to the outage probability, under mild assumptions. The analysis is based on the Tauberian theorem for Laplace-Stieltjes transforms which is grounded on the ...
Tepedelenlioglu, Cihan, Zhang, Yuan
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Euclidean algorithms are Gaussian over imaginary quadratic fields

Journal 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

A Tauberian Theorem for Double Cesàro Summability Method

International Journal of Mathematics and Mathematical Sciences, Volume 2016, Issue 1, 2016., 2016
We have generalized Littlewood Tauberian theorems for (C, k, r) summability of double sequences by using oscillating behavior and de la Vallée‐Poussin mean. Further, the generalization of (C, r) summability from (C, k, r) summability is given as corollaries which were earlier established by the authors.
Bidu Bhusan Jena, Susanta Kumar Paikray, Umakanta Misra, Syed Abdul Mohiuddine   +3 more
wiley   +1 more source

Application of Tauberian Theorem to the Exponential Decay of the Tail Probability of a Random Variable

, 2007
We give a sufficient condition for the exponential decay of the tail probability of a non-negative random variable. We consider the Laplace-Stieltjes transform of the probability distribution function of the random variable.
Nakagawa, Kenji
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Some Tauberian conditions for Cesàro summability method

Mathematica Slovaca, 2012
Abstract Let u = (u n) be a sequence of real numbers whose generator sequence is Cesàro summable to a finite number. We prove that (u n) is slowly oscillating if the sequence of Cesàro means of (ω n(m−1)(u)) is increasing and the following two conditions are hold: $$\
İbrahi̇m Çanak, Ümi̇t Totur
openaire   +1 more source