Fund Project: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).
In this paper, we prove that under some restricted conditions, the non-bandlimited functions can be reconstructed by the multidimensional sampling theorem of Hermite type in the space of $L_p({\Bbb{R}}^n)$, $1