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Multivariate irregular sampling theorem |
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| Authors: | GuangGui Chen GenSun Fang |
| Institution: | CHEN GuangGui1,2 & FANG GenSun2 1 School of Mathematics , Computer Engineering,Xihua University,Chengdu 610039,China 2 School of Mathematical Sciences,Beijing Normal University,Laboratory of Mathematics , Complex Systems,Ministry of Education,Beijing 100875,China |
| Abstract: | In this paper,we prove a Marcinkiewicz-Zygmund type inequality for multivariate entire functions of exponential type with non-equidistant spaced sampling points. And from this result,we establish a multivariate irregular Whittaker-Kotelnikov-Shannon type sampling theorem. |
| Keywords: | Marcinkiewicz-Zygmund type inequality multivariate irregular sampling theorem entire function of exponential type |
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