Holomorphic approximation of L2-functions on the unit sphere in R3

doi:10.1016/j.jmaa.2014.02.065

Residential College	false
Status	已發表Published
	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 Publication	Journal of Mathematical Analysis and Applications
ISSN	10960813 0022247X
Volume	416 Issue:2 Pages: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.
Keyword	Holomorphic Polynomials Holomorphic Signals Orthogonal Polynomials Quaternionic Analysis
DOI	10.1016/j.jmaa.2014.02.065
URL	View the original
Indexed By	SCIE
Language	英語English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied ; Mathematics
WOS ID	WOS:000335368100013
Scopus ID	2-s2.0-84895854207
Fulltext Access	View Full-Text via DOI View Full-Text via Web of Science View Full-Text via Scopus
Citation statistics
Document Type	Journal article
Collection	University of Macau
Affiliation	1.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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