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A note on the finitization of Abelian and Tauberian theorems
Mathematical Logic Quarterly, Volume 66, Issue 3, Page 300-310, October 2020., 2020 Abstract We present finitary formulations of two well known results concerning infinite series, namely Abel's theorem, which establishes that if a series converges to some limit then its Abel sum converges to the same limit, and Tauber's theorem, which presents a simple condition under which the converse holds. Our approach is inspired by proof theory,
Thomas Powell
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Tauberian theorem for the distributional Stieltjes transformation
International Journal of Mathematics and Mathematical Sciences, 1986 In this paper we use the notion of L-quasiasymptotic at infinity of distributions to obtain a final value Tauberian theorem for the distributional Stieltjes transformation.
D. Nikolić-Despotović, S. Pilipović
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Gabor frames and asymptotic behavior of Schwartz distributions [PDF]
, 2016 We obtain characterizations of asymptotic properties of Schwartz distribution by using Gabor frames. Our characterizations are indeed Tauberian theorems for shift asymptotics (S-asymptotics) in terms of short-time Fourier transforms with respect to ...
Kostadinova, Sanja +2 more
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International Journal of Mathematics and Mathematical Sciences, 1990 We characterize all infinite matrices of bounded linear operators on a Banach space which preserve the limits of uniformly convergent sequences defined on an infinite set.
I. J. Maddox
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Solyanik estimates and local H\"older continuity of halo functions of geometric maximal operators [PDF]
, 2015 Let $\mathcal{B}$ be a homothecy invariant basis consisting of convex sets in $\mathbb{R}^n$, and define the associated geometric maximal operator $M_{\mathcal{B}}$ by $$ M_{\mathcal{B}} f(x) :=\sup_{x \in R \in \mathcal{B}}\frac{1}{|R|}\int_R |f| $$ and
Hagelstein, Paul A., Parissis, Ioannis
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A Tauberian theorem for Ingham summation method
, 2009 The aim of this work is to prove a Tauberian theorem for the Ingham summability method. The Tauberian theorem we prove is then applied to analyze asymptotics of mean values of multiplicative functions on natural numbers.Comment: 25 ...
Zacharovas, Vytas
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Heterogeneous Media Heat Transfer Simulations Based on 3D‐Fractional Parametric Laplace Kernel
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper introduces a new Mittag–Leffler–Laplace memory kernel defined by Φ˜μ,ν,κα,ρs=∫0∞Eρ−μξκ/κξνα−1e−sξdξ, s>0, and develops a unified framework for modeling heat transfer in heterogeneous media with nonlocal temporal memory. The proposed kernel combines algebraic singularity, stretched attenuation, and fractional relaxation through independent ...
Rabha W. Ibrahim +3 more
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A Tauberian Theorem for Double Cesàro Summability Method
International Journal of Mathematics and Mathematical Sciences, 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.
Bidu Bhusan Jena +2 more
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Tauberian-Cardy formula with spin
Journal of High Energy Physics, 2020 We prove a 2 dimensional Tauberian theorem in context of 2 dimensional conformal field theory. The asymptotic density of states with conformal weight (h, h ¯ $$ \overline{h} $$ ) → (∞, ∞) for any arbitrary spin is derived using the theorem.
Sridip Pal, Zhengdi Sun
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Some nonlinear Tauberian theorems [PDF]
Proceedings of the American Mathematical Society, 1967 In a forthcoming study of the n-body problem I have made use of the nonlinear Tauberian theorems obtained in this note. The symbol wc(x) represents a positive function, increasing for x >0. The symbols f, g, h represent functions which are of class C2 on (0, cm). The basic Theorem 1 is due to Boas [1]. THEOREM 1.
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