Results 231 to 240 of about 184,563 (268)

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 ...
openaire   +2 more sources

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

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

Remarks on Almost Everywhere Convergence and Approximate Identities

Acta Mathematica Sinica, English Series
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Douglas, Sean, Grafakos, Loukas
openaire   +1 more source

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

Vilenkin–Lebesgue Points and Almost Everywhere Convergence for Some Classical Summability Methods

Mediterranean Journal of Mathematics, 2022
Lars-Erik Persson
exaly  

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

Frontiers of Mathematics, 2023
Fayou Zhao
exaly  

Almost Everywhere Convergence of Multiple Trigonometric Fourier Series of Functions from Sobolev Classes

Mathematical Notes, 2021
Ravshan Ashurov
exaly  

Unconditional convergence and almost everywhere convergence

Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1976
openaire   +1 more source