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Shannon sampling and estimation of band-limited functions in the several complex variables setting
Kit-Ian Kou; Tao Qian
2005-10
Source PublicationActa Mathematica Scientia
ISSN0252-9602
Volume25Issue:4Pages:741-754
Abstract

In this work the authors develop the n-dimensional sinc function theory in the several complex variables setting. In terms of the corresponding Paley-Wiener theorem the exact sinc interpolation and quadrature are established. Exponential convergence rate of the error estimates for band-limited functions in n-dimensional strips are obtained.

KeywordShannon Sampling Sinc Function Harmonic Analysis
DOI10.1016/S0252-9602(17)30214-X
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000233058300019
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Citation statistics
Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
AffiliationFaculty of Science and Technology, University of Macau, Macau
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Kit-Ian Kou,Tao Qian. Shannon sampling and estimation of band-limited functions in the several complex variables setting[J]. Acta Mathematica Scientia, 2005, 25(4), 741-754.
APA Kit-Ian Kou., & Tao Qian (2005). Shannon sampling and estimation of band-limited functions in the several complex variables setting. Acta Mathematica Scientia, 25(4), 741-754.
MLA Kit-Ian Kou,et al."Shannon sampling and estimation of band-limited functions in the several complex variables setting".Acta Mathematica Scientia 25.4(2005):741-754.
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