In this paper, we prove that under some restricted conditions, the non-bandiimited functions can be reconstructed by the multidimensional sampling theorem of Hermite type in the space of Lp（R^n）, 1 〈 p 〈 ∞.
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 irregu...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.展开更多
基金the National Natural Science Foundation of China （No. 10671019） Research Project of Science and Technology of Higher Education of Inner Mongolia （No. NJzy08163） Research Project of Education Bureau of Zhejiang Province （No. 20070509）.
文摘In this paper, we prove that under some restricted conditions, the non-bandiimited functions can be reconstructed by the multidimensional sampling theorem of Hermite type in the space of Lp（R^n）, 1 〈 p 〈 ∞.
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)
文摘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.
