On the order and type of basic and composite sets of polynomials in complete Reinhardt domains (Q1416133)
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scientific article; zbMATH DE number 2016841
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the order and type of basic and composite sets of polynomials in complete Reinhardt domains |
scientific article; zbMATH DE number 2016841 |
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On the order and type of basic and composite sets of polynomials in complete Reinhardt domains (English)
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14 December 2003
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Given a suitable set of polynomials \(\{P_\nu\}_{\nu\geq 1}\) in \(n\) complex variables, the authors investigate conditions ensuring that any entire function \(f\) of a given finite order can be expanded in a series \(f=\sum_\nu a_\nu P_\nu\). It should be remarked that in the paper, the terminology ``complete Reinhardt domain'' represents merely polydisks, but not the general notion of complete Reinhardt domain.
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entire functions
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order and type
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polynomials
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several complex variables
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Reinhardt domains
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