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Sampling with Bessel functions
Kou,Kit Ian1; Qian,Tao1; Sommen,Frank2
Source PublicationAdvances in Applied Clifford Algebras
AbstractThe 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
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Scopus ID2-s2.0-34548071357
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Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
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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