Clifford algebra approach to pointwise convergence of Fourier series on spheres
type: Item
instance of: scholarly article
title: Clifford algebra approach to pointwise convergence of Fourier series on spheres
zbMATH Open document ID: 1140.42301
author: Minggang Fei
author: Tao Qian
published in: Science in China. Series A
publication date: 2007-02-16T00:00:00Z
Mathematics Subject Classification ID: 42B05
Mathematics Subject Classification ID: 30G35
Mathematics Subject Classification ID: 42C10
zbMATH DE Number: 5127959
zbMATH Keywords: Clifford algebra
zbMATH Keywords: pointwise convergence of Fouirer series
zbMATH Keywords: unit sphere
zbMATH Keywords: Fueter's Theorem
MaRDI profile type: Publication
full work available at URL: s11425-006-2053-x
OpenAlex ID: W1564796119
cites work: Q3254471
cites work: On convergence and growth of partial sums of Fourier series
cites work: Pointwise convergence for expansions in surface harmonics of arbitrary dimension.
cites work: Divergent Jacobi Polynomial Series
cites work: Singular integrals on star-shaped Lipschitz surfaces in the quaternionic space
cites work: Fourier analysis on starlike Lipschitz surfaces
cites work: Q3155091
cites work: Generalization of Fueter's result to \(\mathbb{R}^{n+1}\)
cites work: Deriving harmonic functions in higher dimensional spaces
cites work: Q3310867
cites work: The Quaternion Calculus
cites work: Quaternionic analysis
cites work: Q3252796
cites work: Generalizations of Fueter's theorem
cites work: Differentiable manifolds in complex Euclidean space
cites work: Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
cites work: Unmittelbarer Beweis der Konvergenz einiger Reihen, die von mehreren Veränderlichen abhängen
DOI: 10.1007/S11425-006-2053-X
Recommended article: Hilbert transforms on the sphere with the Clifford algebra setting
Recommended article: Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces
Recommended article: Q4663729
Recommended article: On pointwise convergence of Fourier series of radial functions in several variables
Recommended article: Q4274032
Recommended article: Pointwise convergence of Fourier series. I: On a conjecture of Konyagin
Recommended article: Q3769373
Recommended article: On the point behavior of Fourier series and conjugate series
Recommended article: Q3155091
Recommended article: On uniform convergence of spherical Fourier sums of differentiable functions
description: scientific article; zbMATH DE number 5127959