Acta mathematica scientia,Series B

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SHANNON SAMPLING AND ESTIMATION OF BAND-LIMITED FUNCTIONS IN THE SEVERAL COMPLEX VARIABLES SETTING

 GAO Ji-Xin, JIAN Chao   

  1. Faculty of Science and Technology, University of Macau, Macau
  • Online:2005-10-11 Published:2005-10-11
  • Supported by:

    The work was supported by research grant of the University of Macau
    (RG024/02-03S/QT/FST)

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.

Key words: Shannon sampling, sinc function, harmonic analysis

CLC Number: 

  • 62D05
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