Results 251 to 260 of about 223,909 (283)

Almost Everywhere Convergence of Bochner–Riesz Means on Hardy–Sobolev Spaces

Frontiers of Mathematics, 2023
D. Fan, Fayou Zhao
semanticscholar   +1 more source

Almost everywhere convergence of convolution powers

Ergodic Theory and Dynamical Systems, 1994
AbstractGiven an ergodic dynamical system (X,B,m, τ) and a probability measure μ on the integers, define for all f ∈ L1(X) The almost everywhere convergence of the convolution powers μnf(x) depends on the properties of μ. If μ has finite and then for all f ∈ Lp(X), 1< p < ∞, exists for a.e. x.
Bellow, Alexandra, Jones, Roger, Rosenblatt, Joseph   +2 more
openaire   +1 more source

Almost everywhere convergence of orthogonal series

Acta Mathematica Hungarica, 1985
We say that a function \(\delta\) (x) is a control function for an almost everywhere convergence of \(f_ n(x)\) to f(x) on [0,1], if for every \(\epsilon >0\) there exists an integer n(\(\epsilon)\) such that \(| f_ n(x)-f(x)| 1-\alpha /k ...
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Almost Everywhere Convergence of Cesàro-Marczinkiewicz Means of Two-Dimensional Fourier Series on the Group of $$2$$-Adic Integers

P-Adic Numbers, Ultrametric Analysis, and Applications, 2022
G. Gát, Gábor Lucskai
semanticscholar   +1 more source

Stability of unconditional convergence almost everywhere

Mathematical Notes of the Academy of Sciences of the USSR, 1973
We will investigate the properties of series of functions which are unconditionally convergent almost everywhere on [0, 1]. We will establish the following theorem: If the series σ k=1 ∞ f k(x) converges unconditionally almost everywhere, then there exists a sequence {Βk} 1
openaire   +2 more sources

Intuitionistic Fuzzy Probability and Almost Everywhere Convergence

Advances and New Developments in Fuzzy Logic and Technology, 2021
K. Čunderlíková
semanticscholar   +1 more source

Almost Everywhere Convergence of the Cesàro Means of Two Variablewalsh–Fourier Series with Variable Parameters

Ukrainian Mathematical Journal, 2021
A. A. Joudeh, G. Gát
semanticscholar   +1 more source

Function classes and convergence almost everywhere

gmj, 2011
Abstract For a certain class of orthonormal systems (ONS) on [0, 1] there exists a family of functions from L 2(0, 1), independent from that class, such that the Fourier series with respect to each ONS of the class converges a.e. for any member of the family. Similar result holds for the summability of Fourier integrals.
openaire   +2 more sources

$ U$-convergence almost everywhere of double Fourier series

Sbornik: Mathematics, 1995
Summary: We consider \(u\)-convergence of double Fourier series. (\(u\)-convergence of a double number series implies that it converges in the sense of Pringsheim, over spheres, and so on.) Unextendable classes of Weyl multipliers for \(u\)-convergence almost everywhere are described.
openaire   +2 more sources

Transference of almost everywhere convergence

The authors show that if \(R\) is a representation of a locally compact abelian group \(G\) in \(L^ p(\Omega,\mu)\), then under certain conditions on \(R\) the sequence \(H_{k_ n}g=\int_ Gk_ n(u)R_{-u}g d\lambda(u)\) converges a.e. for every \(g \in L^ p(\Omega,\mu)\) whenever the sequence \(\{k_ n * f\}\) converges a.e.
Asmar, Nakhlé, Berkson, Earl, Gillespie, T. A.   +2 more
openaire   +2 more sources