UM
A note on pointwise convergence for expansions in surface harmonics of higher dimensional euclidean spaces
Fei M.-G.1; Qian T.2
2009
Source PublicationTaiwanese Journal of Mathematics
ISSN10275487
Volume13Issue:3Pages:1053-1062
Abstract

We study the Fourier-Laplace series on the unit sphere of higher dimensional Euclidean spaces and obtain a condition for convergence of Fourier-Laplace series on the unit sphere. The result generalizes Carleson's Theorem to higher dimensional unit spheres.

KeywordCarleson's Theorem Fourier-laplace Series Legendre Polynomials Spherical Harmonics
DOI10.11650/twjm/1500405459
URLView the original
Indexed BySCIE
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000266623400016
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Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.University of Electronic Science and Technology of China
2.Universidade de Macau
Recommended Citation
GB/T 7714
Fei M.-G.,Qian T.. A note on pointwise convergence for expansions in surface harmonics of higher dimensional euclidean spaces[J]. Taiwanese Journal of Mathematics,2009,13(3):1053-1062.
APA Fei M.-G.,&Qian T..(2009).A note on pointwise convergence for expansions in surface harmonics of higher dimensional euclidean spaces.Taiwanese Journal of Mathematics,13(3),1053-1062.
MLA Fei M.-G.,et al."A note on pointwise convergence for expansions in surface harmonics of higher dimensional euclidean spaces".Taiwanese Journal of Mathematics 13.3(2009):1053-1062.
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