Cesàro summability and Lebesgue points of higher dimensional Fourier series
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Publication:2087576
DOI10.3934/mfc.2021033OpenAlexW3212548950MaRDI QIDQ2087576
Publication date: 21 October 2022
Published in: Mathematical Foundations of Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mfc.2021033
Maximal functions, Littlewood-Paley theory (42B25) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Summability in several variables (42B08) Summability and absolute summability of Fourier and trigonometric series (42A24)
Cites Work
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- Marcinkiewicz-Fejér means of \(d\)-dimensional Walsh--Fourier series
- Marcinkiewicz summability of Fourier series, Lebesgue points and strong summability
- Lebesgue points of two-dimensional Fourier transforms and strong summability
- The order of growth of quadratic partial sums of a double Fourier series
- The Walsh-Kaczmarz-Marcinkiewicz means and Hardy spaces
- Carleson's theorem: proof, complements, variations
- (\(C,\alpha\)) summability of Walsh--Kaczmarz--Fourier series
- Christoffel functions and Fourier series for multivariate orthogonal polynomials
- Fejér means for multivariate Fourier series
- Convergence and summability of Fourier transforms and Hardy spaces
- Lebesgue points of \(\ell_1\)-Cesàro summability of \(d\)-dimensional Fourier series
- Maximal operators of Vilenkin-Nörlund means
- A guide to Carleson's theorem
- Almost everywhere convergence of sequences of Cesàro and Riesz means of integrable functions with respect to the multidimensional Walsh system
- Pointwise convergence of cone-like restricted two-dimensional \((C,1)\) means of trigonometric Fourier series
- Almost everywhere convergence of \((C,\alpha)\)-means of cubical partial sums of \(d\)-dimensional Walsh--Fourier series
- The Segal algebra \(\mathbf S_0(\mathbb R^d)\) and norm summability of Fourier series and Fourier transforms
- On convergence and growth of partial sums of Fourier series
- The multiplier problem for the ball
- POINTWISE CONVERGENCE OF FOURIER SERIES
- Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
- l-1 summability of multiple Fourier integrals and positivity
- On the Marcinkiewicz-Fejér means of double Fourier series with respect to the Walsh-Kaczmarz system
- Bochner–Riesz Means on Euclidean Spaces
- Unrestricted Cesàro summability of $d$-dimensional Fourier series and Lebesgue points
- Lebesgue points and Cesàro summability of higher dimensional Fourier series over a cone
- Classical Fourier Analysis
- Modern Fourier Analysis
- Summability of Multi-Dimensional Trigonometric Fourier Series
- Wiener amalgams and pointwise summability of Fourier transforms and Fourier series
- On the divergence of multiple Fourier series
- On the convergence of multiple Fourier series
- Cesàro summability with respect to two-parameter Walsh systems
- On \(\ell-1\) Riesz summability of the inverse Fourier integral
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