Commuting pairs of linear ordinary differential operators of orders four and six (Q1108567)
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scientific article; zbMATH DE number 4067676
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Commuting pairs of linear ordinary differential operators of orders four and six |
scientific article; zbMATH DE number 4067676 |
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Commuting pairs of linear ordinary differential operators of orders four and six (English)
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1988
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The author gives a description of all commuting linear ordinary differential operators of order four and six. An elementary and explicit representation of these commuting pairs of operators which are parametrized by a finite number of parameters and by an arbitrary function is given. In this case of ``rank two'' by Krichever and Novikov the results given in section 2 are equivalent to those of P. G. Grinevich.
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commutative rings of differential operators
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elliptic curve
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description of all commuting linear ordinary differential operators of order four and six
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