Cesàro summability and Lebesgue points of higher dimensional Fourier series
type: Item
instance of: scholarly article
title: Cesàro summability and Lebesgue points of higher dimensional Fourier series
author: Ferenc Weisz
published in: Mathematical Foundations of Computing
publication date: 2022-10-21T00:00:00Z
Mathematics Subject Classification ID: 42B08
Mathematics Subject Classification ID: 42A24
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 40G05
zbMATH DE Number: 7604700
zbMATH Keywords: Cesàro summability
zbMATH Keywords: Hardy-Littlewood maximal function
zbMATH Keywords: Lebesgue points
MaRDI profile type: Publication
full work available at URL: mfc.2021033
OpenAlex ID: W3212548950
cites work: POINTWISE CONVERGENCE OF FOURIER SERIES
cites work: Q5338374
cites work: On \(\ell-1\) Riesz summability of the inverse Fourier integral
cites work: Fejér means for multivariate Fourier series
cites work: l-1 summability of multiple Fourier integrals and positivity
cites work: On convergence and growth of partial sums of Fourier series
cites work: Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
cites work: A guide to Carleson's theorem
cites work: On the convergence of multiple Fourier series
cites work: On the divergence of multiple Fourier series
cites work: The multiplier problem for the ball
cites work: The Segal algebra \(\mathbf S_0(\mathbb R^d)\) and norm summability of Fourier series and Fourier transforms
cites work: Wiener amalgams and pointwise summability of Fourier transforms and Fourier series
cites work: Q5658567
cites work: Pointwise convergence of cone-like restricted two-dimensional \((C,1)\) means of trigonometric Fourier series
cites work: Almost everywhere convergence of sequences of Cesàro and Riesz means of integrable functions with respect to the multidimensional Walsh system
cites work: On the Marcinkiewicz-Fejér means of double Fourier series with respect to the Walsh-Kaczmarz system
cites work: Marcinkiewicz-Fejér means of \(d\)-dimensional Walsh--Fourier series
cites work: Almost everywhere convergence of \((C,\alpha)\)-means of cubical partial sums of \(d\)-dimensional Walsh--Fourier series
cites work: Q5864540
cites work: Q3531572
cites work: Classical Fourier Analysis
cites work: Modern Fourier Analysis
cites work: Q5542909
cites work: Carleson's theorem: proof, complements, variations
cites work: Bochner–Riesz Means on Euclidean Spaces
cites work: The Walsh-Kaczmarz-Marcinkiewicz means and Hardy spaces
cites work: Maximal operators of Vilenkin-Nörlund means
cites work: Cesàro summability with respect to two-parameter Walsh systems
cites work: (\(C,\alpha\)) summability of Walsh--Kaczmarz--Fourier series
cites work: Q4026702
cites work: The order of growth of quadratic partial sums of a double Fourier series
cites work: Q4243456
cites work: Summability of Multi-Dimensional Trigonometric Fourier Series
cites work: Lebesgue points of two-dimensional Fourier transforms and strong summability
cites work: Convergence and summability of Fourier transforms and Hardy spaces
cites work: Marcinkiewicz summability of Fourier series, Lebesgue points and strong summability
cites work: Lebesgue points and Cesàro summability of higher dimensional Fourier series over a cone
cites work: Lebesgue points of \(\ell_1\)-Cesàro summability of \(d\)-dimensional Fourier series
cites work: Unrestricted Cesàro summability of $d$-dimensional Fourier series and Lebesgue points
cites work: Christoffel functions and Fourier series for multivariate orthogonal polynomials
cites work: Q4888381
DOI: 10.3934/MFC.2021033
description: scientific article; zbMATH DE number 7604700