| Fourier变换在处理频谱问题中的一个应用 |
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| 引用本文： | 华茂芬.Fourier变换在处理频谱问题中的一个应用[J].南京大学学报(自然科学版),1990,26(4):554-563. |
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| 作者姓名： | 华茂芬 |
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| 作者单位： | 南京大学数学系 |
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| 摘 要： |
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| 关 键 词： | 富氏变换 频谱 紧支集 导数 |
AN APPLICATION OF THE FOURIER TRANSFORM IN DEALING WITH A PROBLEM OF THE FREQUENCY SPECTRUM |
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| Hua Maofen.AN APPLICATION OF THE FOURIER TRANSFORM IN DEALING WITH A PROBLEM OF THE FREQUENCY SPECTRUM[J].Journal of Nanjing University: Nat Sci Ed,1990,26(4):554-563. |
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| Authors: | Hua Maofen |
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| Institution: | Hua Maofen Department of Mathematics |
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| Abstract: | In this paper,we have resolved the following problem(T)by the theory of the Fourier transforms: Let the Fourier transform of a given function X(t)be Seek for a function X_1(t),such that and the truncated frequency of the frequency spectrum of X_1(t)is f_c,that is a positive constant. We conclude that the X_1 does not exist and we give solution of X_1(t)and an es- timation of X_1(f)for |f|>f_,when X_1(t)satisfies certain Smooth conditions. |
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| Keywords: | Fourier transform frequency spectrum compact support derivative modulus of continuity |
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