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Fischer decompositions in Euclidean and Hermitean Clifford analysis. (English) Zbl 1249.30135

This paper offers a concise and transparent way of refining the classical monogenic Fischer decomposition to the Hermitean case. Moreover, despite focusing on a particular problem within this branch of analysis, the paper as a whole offers a nice overview of what has been done so far in the framework of Hermitean Clifford analysis and can therefore be read as a compact introduction.

MSC:

30G35 Functions of hypercomplex variables and generalized variables
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