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Paley-Wiener theorem and Shannon Sampling in the Clifford analysis setting
Tao Qian
2004
Conference Name6th International Conference on Clifford Algebras and Their Applications in Mathematical Physics
Source PublicationCLIFFORD ALGEBRAS: APPLICATIONS TO MATHEMATICS, PHYSICS, AND ENGINEERING
Volume34
Pages115-124
Conference DateMay 20-25, 2002
Conference PlaceCookeville, Tennessee, USA
Abstract

This paper is concerned with the classical Paley-Wiener theorems in one and several complex variables, the generalization to Euclidean spaces in the Cliffordanalysis setting and their proofs. We prove a new Shannon sampling theorem in the Clifford analysis setting.

KeywordShannon Sampling Paley-wiener Theorem Interpolation Sinc Function Monogenic Function
DOI10.1007/978-1-4612-2044-2_7
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000188743900007
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Citation statistics
Document TypeConference paper
CollectionFaculty of Science and Technology
AffiliationFaculty of Science and Technology,University of Macau,Macao,Hong Kong
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Tao Qian. Paley-Wiener theorem and Shannon Sampling in the Clifford analysis setting[C], 2004, 115-124.
APA Tao Qian.(2004). Paley-Wiener theorem and Shannon Sampling in the Clifford analysis setting. CLIFFORD ALGEBRAS: APPLICATIONS TO MATHEMATICS, PHYSICS, AND ENGINEERING, 34, 115-124.
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