| 广义Fourier变换及其应用 |
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| 引用本文： | 崔尚斌.广义Fourier变换及其应用[J].数学研究及应用,1991,11(2):227-230. |
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| 作者姓名： | 崔尚斌 |
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| 作者单位： | 兰州大学数学系 |
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| 基金项目： | 本项研究受国家青年科学基金资助. |
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| 摘 要： | It is proved that for each 2n×2n symplectic matrix S, there exists con-tinuous linear map Fs: S′(Rn)→S′(Rn), unique up to a constant factor, such that(?) Fs is called the generalized Fourier transformation. Some properties and applica-tions of Fs are obtained. In especial , the lower and upper boundedness of Fs in Hm(Rn) is proved and a new proof of L. Hormander Theorem is given.
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| 关 键 词： | 广义 傅氏变换 辛矩阵 线性算子 |
| 收稿时间： | 1989/7/24 0:00:00 |
| 修稿时间： | 1990/7/29 0:00:00 |
Generalized Fourier Transformations and Their Applications |
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| Cui Shangbin.Generalized Fourier Transformations and Their Applications[J].Journal of Mathematical Research with Applications,1991,11(2):227-230. |
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| Authors: | Cui Shangbin |
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| Institution: | Math. Dept.; Lanzhou Univ. |
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