Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (5): 1220-1229.

• Articles • Previous Articles     Next Articles

Irregular Sampling Theorem of Hermite Type and Estimate of Aliasing Error

 TU Yan-Yan, ZHANG Ya-Lan, CHEN Guang-Gui   

  1. School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039
  • Received:2009-02-22 Revised:2010-11-06 Online:2011-10-25 Published:2011-10-25
  • Supported by:

    四川省科技厅重点项目基金(05JY029-138)、西华大学重点学科-应用数学(XZD0910-09-1)和西华大学校青年基金(Q0822601)资助

Abstract:

In this paper, the authors prove a Marcinkiewicz-Zygmund type inequality for entire functions of exponential type with multiple sampling sequences fn) and f^(λn). And from this result, the authors establish an irregular Whittaker-Kotelnikov-Shannon type sampling theorem and determine the bound of its aliasing error on the Sobolev classes.

Key words: Marinkiewicz-Zygmund type inequality, Irregular sampling theorem, Entire function of exponential type, Aliasing error

CLC Number: 

  • 94A20
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