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Title
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The Howe dual pair in Hermitean Clifford analysis
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Author
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Abstract
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| Clifford analysis offers a higher dimensional function theory studying the null solutions of the rotation invariant, vector valued, first order Dirac operator partial derivative. In the more recent branch Hermitean Clifford analysis, this rotational invariance has been broken by introducing a complex structure J on Euclidean space and a corresponding second Dirac operator partial derivative(J), leading to the system of equations partial derivative f = 0 = partial derivative(J)f expressing so-called Hermitean monogenicity. The invariance of this system is reduced to the unitary group. In this paper we show that this choice of equations is fully justified. |
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Language
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English
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Source (journal)
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Revista matemática iberoamericana. - Madrid
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Publication
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Madrid
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2010
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ISSN
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0213-2230
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Volume/pages
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26
:2
(2010)
, p. 449-479
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ISI
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000280972000002
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