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Hermitian Clifford analysis and resolutions. (English) Zbl 1013.30033

The authors study classes of first-order partial differential operators by using of abstract Hermitian vector variables. It is proved that the first syzygies are linear in case of one or two dimensions. Resolutions could be obtained by the aid of the computer algebraic system CoCoA. Almost all corresponding homogeneous systems obey the Hartogs’ phenomenon.

MSC:

30G35 Functions of hypercomplex variables and generalized variables

Software:

CoCoA
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Full Text: DOI

References:

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