摘要
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.
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.
基金
supported by National Natural Science Foundation of China (Grant No. 10671019)
Research Fund for the Doctoral Program Higher Education (Grant No. 20050027007)
Key Project of Technology Bureau of Sichuan Province (Grant No. 05JY029-138)
