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Function classes and convergence almost everywhere
gmj, 2011Abstract 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.
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Almost everywhere convergence of orthogonal series
Acta Mathematica Hungarica, 1985We 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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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 +2 more
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Vilenkin–Lebesgue Points and Almost Everywhere Convergence for Some Classical Summability Methods
Mediterranean Journal of Mathematics, 2022Ferenc Weisz
exaly
Almost Everywhere Convergence of Bochner–Riesz Means on Hardy–Sobolev Spaces
Frontiers of Mathematics, 2023Fayou Zhao, Dashan Fan
exaly
Unconditional convergence and almost everywhere convergence
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1976openaire +1 more source
Convergence Almost Everywhere is Not Topological
The American Mathematical Monthly, 1966openaire +1 more source
Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
Nonlinear Analysis: Theory, Methods & Applications, 1992Lucio Boccardo, François Murat
exaly
Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems
Nonlinear Analysis: Theory, Methods & Applications, 1998Dal Maso, François Murat
exaly

