Residential College | false |
Status | 已發表Published |
Sampling with Bessel functions | |
Kou,Kit Ian1; Qian,Tao1; Sommen,Frank2 | |
2007 | |
Source Publication | Advances in Applied Clifford Algebras |
ISSN | 0188-7009 |
Volume | 17Issue: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. |
Keyword | Bessel Functions Sampling Spherical Harmonics Spherical Monogenics |
DOI | 10.1007/s00006-007-0046-7 |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS ID | WOS:000249225400015 |
Scopus ID | 2-s2.0-34548071357 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF MATHEMATICS |
Affiliation | 1.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 Affilication | Faculty 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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