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Sampling with Bessel functions
Kou,Kit Ian1; Qian,Tao1; Sommen,Frank2
2007
Source PublicationAdvances in Applied Clifford Algebras
ISSN0188-7009
Volume17Issue:3Pages:519-536
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. © 2007 Birkhäuser Verlag Basel/Switzerland.

KeywordBessel Functions Sampling Spherical Harmonics Spherical Monogenics
DOI10.1007/s00006-007-0046-7
URLView the original
Indexed BySCIE
Language英語English
WOS IDWOS:000249225400015
Scopus ID2-s2.0-34548071357
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Document TypeJournal article
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,Kit Ian,Qian,Tao,Sommen,Frank. Sampling with Bessel functions[J]. Advances in Applied Clifford Algebras, 2007, 17(3), 519-536.
APA Kou,Kit Ian., Qian,Tao., & Sommen,Frank (2007). Sampling with Bessel functions. Advances in Applied Clifford Algebras, 17(3), 519-536.
MLA Kou,Kit Ian,et al."Sampling with Bessel functions".Advances in Applied Clifford Algebras 17.3(2007):519-536.
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