Reconstruction of Non-Bandlimited Functions by Multidimensional Sampling Theorem of Hermite Type  

作　　者：LI Yue WU FENG Guo 

机构地区：[1]Department of Mathematics, Hulunbeir University, Inner Mongolia 021008, China [2]School of Mathematical Sciences, Beijing Normal University, Beijing 100859, China [3]Department of Mathematics, Taizhou University, Zhejiang 317000, China

出　　处：《Journal of Mathematical Research and Exposition》2009年第2期349-354,共6页数学研究与评论（英文版）

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）.

摘　　要：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 that under some restricted conditions, the non-bandlimited functions can be reconstructed by the multidimensional sampling theorem of Hermite type in the space of Lp(Rn), 1 < p < ∞.

关 键 词：multidimensional sampling theorem non-bandlimited functions Hermite cardinal series entire functions of exponential type. 

分 类 号：O174.41[理学—数学]