Cousin problem for regular functions taking values in a quaternionic algebra (Q1768182)
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scientific article; zbMATH DE number 2145563
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cousin problem for regular functions taking values in a quaternionic algebra |
scientific article; zbMATH DE number 2145563 |
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Cousin problem for regular functions taking values in a quaternionic algebra (English)
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14 March 2005
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For quaternionic regular functions in the sense of Fueter the inhomogeneous Cauchy-Fueter equation is solved by the Teodorescu integral.Then a special proof of the Mittag-Leffler theorem for these regular functions is given, oriented along the lines of a proof of the Cousin theorem in several variables.
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quaternionic analysis
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Cauchy-Fueter equation
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Mittag-Leffler theorem
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