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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

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

Frontiers of Mathematics, 2023
Fayou Zhao, Dashan Fan
exaly  

Unconditional convergence and almost everywhere convergence

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

Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations

Nonlinear Analysis: Theory, Methods & Applications, 1992
Lucio Boccardo, François Murat
exaly  

Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems

Nonlinear Analysis: Theory, Methods & Applications, 1998
Dal Maso, François Murat
exaly  

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