The photogenic Cauchy transform (Q557177)
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scientific article; zbMATH DE number 2182196
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The photogenic Cauchy transform |
scientific article; zbMATH DE number 2182196 |
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The photogenic Cauchy transform (English)
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23 June 2005
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Classical literature concerns the Dirac operator on the flat Euclidean space. A natural generalization consists in considering the Dirac operator on general manifolds within the framework of Clifford analysis. In this paper the authors consider a model for a negatively curved Riemannian space. The nature of this model is projective, whence all relevent objects are defined on the manifold of rays. The so called photogenic fundamental solution is constructed and it is used to define the photogenic Cauchy transform.
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hyperbolic space
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Dirac operator
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Clifford analysis
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photogenic Cauchy transform
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0.82222724
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