Results 71 to 80 of about 610,583 (235)
The Liouville theorem for a class of Fourier multipliers and its connection to coupling
Abstract The classical Liouville property says that all bounded harmonic functions in Rn$\mathbb {R}^n$, that is, all bounded functions satisfying Δf=0$\Delta f = 0$, are constant. In this paper, we obtain necessary and sufficient conditions on the symbol of a Fourier multiplier operator m(D)$m(D)$, such that the solutions f$f$ to m(D)f=0$m(D)f=0$ are ...
David Berger +2 more
wiley +1 more source
Factorable matrices and their associated Riesz matrices; pp. 379–386 [PDF]
A factorable matrix is a natural generalization of a Riesz matrix. When considering the properties of factorable matrices, many authors have used methods similar to the methods for Riesz matrices.
Maria Zeltser
doaj +1 more source
Tauberian and Abelian theorems for long-range dependent random fields
This paper surveys Abelian and Tauberian theorems for long-range dependent random fields. We describe a framework for asymptotic behaviour of covariance functions or variances of averaged functionals of random fields at infinity and spectral densities at
Leonenko, Nikolai, Olenko, Andriy
core +1 more source
Approximation of the semi-infinite interval
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
On logarithmic averages of sequences and its applications
In this paper, we investigate summability methods of logarithmic averages of the numerical sequences and its applications such as Tauberian type theorems.
Umit Totur, Muhammet A. Okur
doaj
Some Tauberian theorems for Euler and Borel summability
The well-known summability methods of Euler and Borel are studied as mappings from ℓ1 into ℓ1. In this ℓ−ℓ setting, the following Tauberian results are proved: if x is a sequence that is mapped into ℓ1 by the Euler-Knopp method Er with r>0 (or the Borel ...
J. A. Fridy, K. L. Roberts
doaj +1 more source
Generalized riesz method and convergence acceleration
Several propositions on A‐boundedness for generalized Riesz method (5ft, Pn), where Pn are linear bounded operators from Banach space X into X, are proved.
I. Tammeraid
doaj +1 more source
Some extended Tauberian theorems for (A)(k) (C, α) summability method
In this paper, some new Tauberian conditions are introduced for (A)(k) (C, α) summability method.
İbrahim Çanak
doaj +1 more source
Analytic combinatorics for a certain well-ordered class of iterated exponential terms [PDF]
The aim of this paper is threefold: firstly, to explain a certain segment of ordinals in terms which are familiar to the analytic combinatorics community, secondly to state a great many of associated problems on resulting count functions and thirdly, to ...
Andreas Weiermann
doaj +1 more source
A uniform Tauberian theorem in optimal control [PDF]
In an optimal control framework, we consider the value $V_T(x)$ of the problem starting from state $x$ with finite horizon $T$, as well as the value $V_\lambda(x)$ of the $\lambda$-discounted problem starting from $x$.
Oliu-Barton, Miquel, Vigeral, Guillaume
core

