Codomains for the Cauchy--Riemann and Laplace operators in \(\mathbb R^2\) (Q949085)
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scientific article; zbMATH DE number 5354257
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Codomains for the Cauchy--Riemann and Laplace operators in \(\mathbb R^2\) |
scientific article; zbMATH DE number 5354257 |
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Codomains for the Cauchy--Riemann and Laplace operators in \(\mathbb R^2\) (English)
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20 October 2008
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Codomains for the Cauchy--Riemann operator in two dimensions and for the Laplace operator are identified. The codomain of an operator is a space of distributions in which the convolution of a fundamental solution with these distributions can be defined. Here, convolution is understood in the sense of \(\mathcal{S}'\).
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\(\mathcal{S}'\)-convolution
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weighted integrable distribution spaces
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fundamental solution
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Cauchy-Riemann operator
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0.8939061
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0.8663755
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0.8629458
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0.8628048
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0.85743165
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0.8542363
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