On the \(\Pi\)-operator in Clifford analysis (Q891384)
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scientific article; zbMATH DE number 6509535
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(\Pi\)-operator in Clifford analysis |
scientific article; zbMATH DE number 6509535 |
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On the \(\Pi\)-operator in Clifford analysis (English)
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17 November 2015
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In a previous paper [Math. Nachr. 288, No. 13, 1451--1475 (2015; Zbl 1327.30057)], the authors consider the main peculiarities of function theory, in the quaternionic context, generated by two, not one, structural sets. The goal of the present paper is to extend directly most of the obtained results to the Clifford analysis setting. The main emphasis here is on the generalization, in this context, of the \(\Pi\)-operator of one-dimensional complex analysis that was investigated in detail for the first time by I. N. Vekua.
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Clifford analysis
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Teodorescu transform
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\(\Pi\)-operator
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Beltrami equation
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