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Iterated Dirac operators in \(\mathbb C^ n\) - MaRDI portal

Iterated Dirac operators in \(\mathbb C^ n\) (Q1179992)

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scientific article; zbMATH DE number 26906
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Iterated Dirac operators in \(\mathbb C^ n\)
scientific article; zbMATH DE number 26906

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    Iterated Dirac operators in \(\mathbb C^ n\) (English)
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    27 June 1992
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    Summary: We give a classification of linear, conformally invariant, Clifford algebra valued differential operators over \(\mathbb C^ n\). Such operators include the Dirac operator and its iterates. We show that the function theory associated to the Dirac operator in \(\mathbb R^ n\) and \(\mathbb C^ n\) can be generalized to all these operators.
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    classification of linear conformally invariant Clifford algebra valued differential operators
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    Dirac operator
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