| 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 |
| 广义Fourier变换及其应用 |
| Generalized Fourier Transformations and Their Applications |
| 投稿时间：1989-07-24 修订日期：1990-07-29 |
| DOI：10.3770/j.issn:1000-341X.1991.02.016 |
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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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| 摘要点击次数: 1868 |
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| 中文摘要: |
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| 英文摘要: |
| 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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