On commuting differential operators with polynomial coefficients corresponding to spectral curves of genus one (Q498187)
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scientific article; zbMATH DE number 6485662
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On commuting differential operators with polynomial coefficients corresponding to spectral curves of genus one |
scientific article; zbMATH DE number 6485662 |
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On commuting differential operators with polynomial coefficients corresponding to spectral curves of genus one (English)
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28 September 2015
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The aim of this paper is to study commuting ordinary differential operators with polynomial coefficients and the orbit space of the automorphisms group of the first Weyl algebra on such operators. Topics include using the methods of the Burchnall-Chaundy lemma and nonzero polynomial, the dimension of eigenfunctions, and the operators generated from the Dixmier commutative subalgebra.
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differential operators
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spectral curves
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