Residential College | false |
Status | 已發表Published |
Sampling with Bessel functions | |
Kou K.I.1; Qian T.1; Sommen F.2 | |
2007-08-01 | |
Conference Name | Conference on Function Theories in Higher Dimensions |
Source Publication | Advances in Applied Clifford Algebras |
Volume | 17 |
Issue | 3 |
Pages | 519-536 |
Conference Date | JUN 12-16, 2006 |
Conference Place | Tampere 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. |
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 Research Area | Mathematics ; Physics |
WOS Subject | Mathematics, Applied ; Physics, Mathematical |
WOS ID | WOS:000249225400015 |
Scopus ID | 2-s2.0-34548071357 |
Fulltext Access | |
Citation statistics | |
Document Type | Conference paper |
Collection | University of Macau |
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 K.I.,Qian T.,Sommen F.. Sampling with Bessel functions[C], 2007, 519-536. |
APA | Kou K.I.., Qian T.., & Sommen F. (2007). Sampling with Bessel functions. Advances in Applied Clifford Algebras, 17(3), 519-536. |
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