Rational functions and realization theory: The hyperholomorphic case (Q1408134)
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scientific article; zbMATH DE number 1981290
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rational functions and realization theory: The hyperholomorphic case |
scientific article; zbMATH DE number 1981290 |
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Rational functions and realization theory: The hyperholomorphic case (English)
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15 September 2003
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In this short note the authors define rational functions in the quaternions using Fueter polynomials and the Cauchy-Kovalevskaya product. Such a rational function is realizable, if it may be represented in a certain matrix form. The principal result of the paper is, that a quaternionic function is rational if and only if it is realizable.
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quaternionic analysis
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rational functions
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representation of functions
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