Mathematica, 2023 In this paper we prove that the maximal operator of Cesaro-means for one-dimensional Fourier series on the group of 2-adic integers is of weak type (L^{1}, L^{1}).
Adimasu Ateneh Tilahun
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Generalized Localization and Summability Almost Everywhere of Multiple Fourier Series and Integrals
Современная математика: Фундаментальные направления, 2021 It is well known that Luzin’s conjecture has a positive solution for one-dimensional trigonometric Fourier series, but in the multidimensional case it has not yet found its confirmation for spherical partial sums of multiple Fourier series. Historically,
R. R. Ashurov
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Norm and almost everywhere convergence of matrix transform means of Walsh-Fourier series
Acta Universitatis Sapientiae: Mathematica, 2023 We show the uniformly boundedness of the L1 norm of general matrix transform kernel functions with respect to the Walsh-Paley system. Special such matrix means are the well-known Cesàro, Riesz, Bohner-Riesz means.
I. Blahota, G. Gát
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Some applications of the Menshov–Rademacher theorem
Comptes Rendus. Mathématique, 2021 Given a sequence $(X_n)$ of real or complex random variables and a sequence of numbers $(a_n)$, an interesting problem is to determine the conditions under which the series $\sum _{n=1}^\infty a_n X_n$ is almost surely convergent.
Mukeru, Safari
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Almost everywhere convergence of Bochner-Riesz means for the Hermite operators [PDF]
Advances in Mathematics, 2020 Let $H = -\Delta + |x|^2$ be the Hermite operator in ${\mathbb R}^n$. In this paper we study almost everywhere convergence of the Bochner-Riesz means associated with $H$ which is defined by $S_R^{\lambda}(H)f(x) = \sum\limits_{k=0}^{\infty} \big(1-{2k+n ...
Peng Chen +4 more
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Arabian Journal of Mathematics, 2021 In the present paper, we prove the almost everywhere convergence and divergence of subsequences of Cesàro means with zero tending parameters of Walsh–Fourier series.
G. Gát, U. Goginava
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Generalization and new proof for almost everywhere convergence to imply local convergence in measure [PDF]
Journal of Interdisciplinary Mathematics, 2020 With a new proof approach we prove in a more general setting the classical convergence theorem that almost everywhere convergence of measurable functions on a finite measure space implies convergence in measure.
Yu-Lin Chou
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Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay [PDF]
Opuscula Mathematica, 2014 We consider the Darboux problem for the hyperbolic partial functional differential equation with infinite delay. We deal with generalized (in the "almost everywhere" sense) solutions of this problem.
Tomasz Człapiński
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Almost everywhere convergence of Bochner–Riesz means with critical index for Dunkl transforms
Journal of Approximation Theory, 2016 Feng Dai
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ON \(\Lambda\)-CONVERGENCE ALMOST EVERYWHERE OF MULTIPLE TRIGONOMETRIC FOURIER SERIES
Ural Mathematical Journal, 2017 We consider one type of convergence of multiple trigonometric Fourier series intermediate between the convergence over cubes and the \(\lambda \)-convergence for \(\lambda >1\).
Nikolai Yu. Antonov
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