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On truncation error bound for multidimensional sampling expansion laplace transform |
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| Authors: | Long Jingfan Fang Gensun |
| Institution: | (1) Department of Mathematics, Beijing Normal University, 100875 Beijing, P. R. China |
| Abstract: | The truncation error associated with a given sampling representation is defined as the difference between the signal and an approximating sumutilizing a finite number of terms. In this paper we give uniform bound for truncation error of bandlimited functions in the n dimensional Lebesgue space Lp(Rn) associated with multidimensional Shannon sampling representation. |
| Keywords: | truncation error band limited function sampling theorem LAPLACE TRANSFORM EXPANSION SAMPLING MULTIDIMENSIONAL multidimensional Shannon sampling paper bound bandlimited functions Lebesgue space truncation error associated representation defined difference signal finite number |
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