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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
DOIhttps://doi.org/10.1016/S0252-9602(17)30214-X
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000233058300019
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被引频次[WOS]:1   [WOS记录]     [WOS相关记录]
Document TypeJournal article
专题Faculty of Science and Technology
DEPARTMENT OF MATHEMATICS
AffiliationFaculty of Science and Technology, University of Macau, Macau
First Author AffilicationFaculty of Science and Technology
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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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