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Holomorphic approximation of L2-functions on the unit sphere in R3
De Schepper N.1; Qian T.2; Sommen F.1; Wang J.2
2014-08-15
Source PublicationJournal of Mathematical Analysis and Applications
ISSN10960813 0022247X
Volume416Issue:2Pages:659-671
Abstract

In this paper we construct an embedding of holomorphic functions in two complex variables into the unit ball in R3. This leads to a closed subspace of the L-functions on the unit sphere spanned by quaternionic polynomials for which we construct orthonormal bases and study the related convergence properties. © 2014 Elsevier Inc.

KeywordHolomorphic Polynomials Holomorphic Signals Orthogonal Polynomials Quaternionic Analysis
DOIhttps://doi.org/10.1016/j.jmaa.2014.02.065
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000335368100013
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Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Clifford Research Group, Department of Mathematical Analysis, Faculty of Engineering and Architecture, Ghent University, Belgium
2.Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macao, China
Recommended Citation
GB/T 7714
De Schepper N.,Qian T.,Sommen F.,et al. Holomorphic approximation of L2-functions on the unit sphere in R3[J]. Journal of Mathematical Analysis and Applications,2014,416(2):659-671.
APA De Schepper N.,Qian T.,Sommen F.,&Wang J..(2014).Holomorphic approximation of L2-functions on the unit sphere in R3.Journal of Mathematical Analysis and Applications,416(2),659-671.
MLA De Schepper N.,et al."Holomorphic approximation of L2-functions on the unit sphere in R3".Journal of Mathematical Analysis and Applications 416.2(2014):659-671.
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