Results 21 to 30 of about 1,178 (110)
Explicit bounds on eigenfunctions and spectral functions on manifolds hyperbolic near a point [PDF]
, 2013 We derive explicit bounds for the remainder term in the local Weyl law for locally hyperbolic manifolds, we also give the estimates of the derivative of this remainder.
Mroz, Kamil, Strohmaier, Alexander
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Optimal Tauberian constant in Ingham's theorem for Laplace transforms [PDF]
, 2018 It is well known that there is an absolute constant $\mathfrak{C}>0$ such that if the Laplace transform $G(s)=\int_{0}^{\infty}\rho(x)e^{-s x}\:\mathrm{d}x$ of a bounded function $\rho$ has analytic continuation through every point of the segment $(-i ...
Debruyne, Gregory, Vindas, Jasson
core +3 more sources
GENERALIZED LINEAR METHODS AND GAP TAUBERIAN REMAINDER THEOREMS
Mathematical Modelling and Analysis, 2008 Some gap Tauberian remainder theorems are proved for generalized linear methods A = (Ank) , where Ank are bounded linear operators from Banach space X into X. In these theorems the investigated sequences have infinitely many constant pieces.
Meronen, Olga, Tammeraid, Ivar
openaire +4 more sources
Voronoi means, moving averages, and power series [PDF]
, 2016 We introduce a {\it non-regular} generalisation of the N\"{o}rlund mean, and show its equivalence with a certain moving average. The Abelian and Tauberian theorems establish relations with convergent sequences and certain power series.
Bingham, N. H., Gashi, Bujar
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k-Run Overpartitions and Mock Theta Functions [PDF]
, 2012 In this paper we introduce k-run overpartitions as natural analogs to partitions without k-sequences, which were first defined and studied by Holroyd, Liggett, and Romik. Following their work as well as that of Andrews, we prove a number of results for k-
Bringmann, Kathrin +3 more
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General logarithmic control modulo and Tauberian remainder theorems
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023 Let $\lambda=(\lambda_n)$ be a nondecreasing sequence of positive numbers such that $\lambda_n\to\infty$. A sequence $(\xi_n)$ is called $\lambda$-bounded if \begin{equation*} \lambda_n(\xi_n-\alpha)=O(1)\end{equation*} with the limit $\displaystyle{\lim_{n\rightarrow \infty}\xi_n=\alpha}$.
openaire +2 more sources
Statistics for traces of cyclic trigonal curves over finite fields [PDF]
, 2009 We study the variation of the trace of the Frobenius endomorphism associated to a cyclic trigonal curve of genus g over a field of q elements as the curve varies in an irreducible component of the moduli space.
Achter +11 more
core +2 more sources
Singular Perturbation of Nonlinear Systems with Regular Singularity
Discrete 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
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
wiley +1 more source
Quantized Kronecker flows and almost periodic quantum field theory
, 1996 We define and study the properties of the infinite dimensional quantized Kronecker flow. This $\bC^*$-dynamical system arises as a quantization of the corresponding flow on an infinite dimensional torus.
Klimek, Slawomir, Lesniewski, Andrzej
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