Hilbert-Dirac operators in Clifford analysis (Q1774255)
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scientific article; zbMATH DE number 2162856
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hilbert-Dirac operators in Clifford analysis |
scientific article; zbMATH DE number 2162856 |
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Hilbert-Dirac operators in Clifford analysis (English)
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29 April 2005
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Riesz potentials and the Dirac operator of Clifford analysis both give a square root of the Laplace operator. These notions are linked to each other by the Hilbert transform of Clifford analysis. The authors construct kernels for powers of the Dirac operator, also for complex powers. Some comments give the history of the problem.
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Clifford analysis
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Riesz potentials
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Hilbert transformation
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distributions
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