UM  > Faculty of Science and Technology  > DEPARTMENT OF MATHEMATICS
Sampling with Bessel functions
Kou K.I.1; Qian T.1; Sommen F.2
2007-08-01
Conference NameConference on Function Theories in Higher Dimensions
Source PublicationAdvances in Applied Clifford Algebras
Volume17
Issue3
Pages519-536
Conference DateJUN 12-16, 2006
Conference PlaceTampere Univ Technol, Tampere, FINLAND
Abstract

The paper deals with sampling of σ-bandlimited functions in R with Clifford-valued, where bandlimitedness means that the spectrum is contained in the ball B(0, σ) that is centered at the origin and has radius σ. By comparing with the general setting, what is new in the sampling is using the explicit Bochner-type relations involving spherical harmonics and monogenics in the Clifford algebra setting. Convergence of the sampling formulas in the L sense and in the uniform and absolute pointwise sense are studied. 

KeywordBessel Functions Sampling Spherical Harmonics Spherical Monogenics
DOIhttps://doi.org/10.1007/s00006-007-0046-7
URLView the original
Indexed BySCIE
Language英语
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000249225400015
Fulltext Access
Citation statistics
Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Faculty of Science and Technology University of Macau Av. Padre Tomas Pereira, S. J., Taipa Macao
2.Department of Mathematical Analysis University of Ghent Galglaan 2 B-9000 Gent Belgium
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Kou K.I.,Qian T.,Sommen F.. Sampling with Bessel functions[C],2007:519-536.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Kou K.I.]'s Articles
[Qian T.]'s Articles
[Sommen F.]'s Articles
Baidu academic
Similar articles in Baidu academic
[Kou K.I.]'s Articles
[Qian T.]'s Articles
[Sommen F.]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Kou K.I.]'s Articles
[Qian T.]'s Articles
[Sommen F.]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.