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Sampling with Bessel functions
Kou K.I.1; Qian T.1; Sommen F.2
Conference NameConference on Function Theories in Higher Dimensions
Source PublicationAdvances in Applied Clifford Algebras
Conference DateJUN 12-16, 2006
Conference PlaceTampere Univ Technol, Tampere, FINLAND

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
URLView the original
Indexed BySCIE
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000249225400015
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Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
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.
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