| On the Fourier Spectra of Distributions in Clifford Analysis |
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| 作者姓名： | Fred BRACKX Bram De KNOCK Hennie De SCHEPPER |
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| 作者单位： | Clifford Research Group Department of Mathematical Analysis Faculty of Engineering，Ghent University，Galglaan 2，9000 Gent，Belgium，Clifford Research Group Department of Mathematical Analysis，Faculty of Engineering，Ghent University，Galglaan 2，9000 Gent，Belgium，Clifford Research Group Department of Mathematical Analysis，Faculty of Engineering，Ghent University，Galglaan 2，9000 Gent，Belgium |
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| 摘 要： | In recent papers by Brackx, Delanghe and Sommen, some fundamental higher dimensional distributions have been reconsidered in the framework of Clifford analysis, eventually leading to the introduction of four broad classes of new distributions in Euclidean space. In the current paper we continue the in-depth study of these distributions, more specifically the study of their behaviour in frequency space, thus extending classical results of harmonic analysis.
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| 关 键 词： | 傅立叶光谱 分布 Clifford分析 基础高阶分布 框架 |
| 收稿时间： | 26 January 2006 |
On the Fourier Spectra of Distributions in Clifford Analysis |
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| Fred BRACKX,Bram De KNOCK,Hennie De SCHEPPER.On the Fourier Spectra of Distributions in Clifford Analysis[J].Chinese Annals of Mathematics,Series B,2006,27(5):495-506. |
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| Authors: | Fred BRACKX Bram De KNOCK and Hennie De SCHEPPER |
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| Institution: | Clifford Research Group,Department of Mathematical Analysis,Faculty of Engineering,Ghent University,Galglaan 2,9000 Gent,Belgium |
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| Abstract: | In recent papers by Brackx, Delanghe and Sommen, some fundamental higher dimensional distributions have been reconsidered in the framework of Clifford analysis, eventually leading to the introduction of four broad classes of new distributions in Euclidean space. In the current paper we continue the in-depth study of these distributions, more specifically the study of their behaviour in frequency space, thus extending classical results of harmonic analysis. |
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| Keywords: | Fourier spectra Distributions Clifford analysis |
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