| HILBERT-DIRAC OPERATORS IN CLIFFORD ANALYSIS |
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| 引用本文： | F. BRACKX,H. De SCHEPPER. HILBERT-DIRAC OPERATORS IN CLIFFORD ANALYSIS[J]. 数学年刊B辑(英文版), 2005, 26(1): 1-14 |
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| 作者姓名： | F. BRACKX H. De SCHEPPER |
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| 作者单位： | Clifford Research Group Department of Mathematical Analysis，Faculty of Engineering，Ghent University，Galglaan 2，B-9000 Gent，Belgium，Clifford Research Group Department of Mathematical Analysis，Faculty of Engineering，Ghent University，Galglaan 2，B-9000 Gent，Belgium |
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| 摘 要： | Around the central theme of "square root" of the Laplace operator it is shown that the classical Riesz potentials of the first and of the second kind allow for an explicit expression of so-called Hilbert-Dirac convolution operators involving natural and complex powers of the Dirac operator.
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| 关 键 词： | 希尔伯特变换 克里佛德分布 迪拉克算子 黎兹位势 |
| 收稿时间： | 2012-05-04 |
HILBERT-DIRAC OPERATORS INCLIFFORD ANALYSIS |
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| F. BRACKX and H. De SCHEPPER. HILBERT-DIRAC OPERATORS INCLIFFORD ANALYSIS[J]. Chinese Annals of Mathematics,Series B, 2005, 26(1): 1-14 |
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| Authors: | F. BRACKX and H. De SCHEPPER |
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| Affiliation: | Clifford Research Group, Department of Mathematical Analysis, Faculty of Engineering, Ghent University, Galglaan 2, B-9000 Gent, Belgium |
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| Abstract: | Around the central theme of "square root" of the Laplace operator it is shown that the classical Riesz potentials of the first and of the second kind allow for an explicit expression of so-called Hilbert-Dirac convolution operators involving natural and complex powers of the Dirac operator. |
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| Keywords: | Clifford analysis Riesz potentials Hilbert transformation Distributions |
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