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Taylor Series in Hermitean Clifford Analysis

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Abstract

In this paper, we consider the Taylor decomposition for h-monogenic functions in Hermitean Clifford analysis. The latter is to be considered as a refinement of the classical orthogonal function theory, in which the structure group underlying the equations is reduced from \({\mathfrak{so}(2m)}\)to the unitary Lie algebra u(m).

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Correspondence to David Eelbode.

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Communicated by Frank Sommen.

F. L. He was supported by the China Scholarship Council.

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Eelbode, D., He, F.L. Taylor Series in Hermitean Clifford Analysis. Complex Anal. Oper. Theory 5, 97–111 (2011). https://doi.org/10.1007/s11785-009-0036-y

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  • DOI: https://doi.org/10.1007/s11785-009-0036-y

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