Reconstruction of Non-Bandlimited Functions by Multidimensional Sampling Theorem of Hermite Type
Received:October 23, 2006  Revised:March 22, 2007
Key Words: multidimensional sampling theorem   non-bandlimited functions   Hermite cardinal series   entire functions of exponential type.  
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).
Author NameAffiliation
LI Yue Wu Department of Mathematics, Hulunbeir University, Inner Mongolia 021008, China
School of Mathematical Sciences, Beijing Normal University, Beijing 100859, China 
FENG Guo Department of Mathematics, Taizhou University, Zhejiang 317000, China 
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      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
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