UM
Clifford algebra approach to pointwise convergence of Fourier series on spheres
Fei M.; Qian T.
2006-11-01
Source PublicationScience in China, Series A: Mathematics
ISSN10069283
Volume49Issue:11Pages:1553-1575
Abstract

We offer an approach by means of Clifford algebra to convergence of Fourier series on unit spheres of even-dimensional Euclidean spaces. It is based on generalizations of Fueter's theorem inducing quaternionic regular functions from holomorphic functions in the complex plane. We, especially, do not rely on the heavy use of special functions. Analogous Riemann-Lebesgue theorem, localization principle and a Dini's type pointwise convergence theorem are proved.

KeywordClifford Algebra Fueter's Theorem Pointwise Convergence Of Fouirer Series Unit Sphere
DOIhttps://doi.org/10.1007/s11425-006-2053-x
URLView the original
Indexed BySCIE
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000242922900010
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Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
AffiliationFaculty of Science and Technology University of Macau Macau
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Fei M.,Qian T.. Clifford algebra approach to pointwise convergence of Fourier series on spheres[J]. Science in China, Series A: Mathematics,2006,49(11):1553-1575.
APA Fei M.,&Qian T..(2006).Clifford algebra approach to pointwise convergence of Fourier series on spheres.Science in China, Series A: Mathematics,49(11),1553-1575.
MLA Fei M.,et al."Clifford algebra approach to pointwise convergence of Fourier series on spheres".Science in China, Series A: Mathematics 49.11(2006):1553-1575.
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