On commuting differential operators with polynomial coefficients corresponding to spectral curves of genus one
type: Item
instance of: scholarly article
title: On commuting differential operators with polynomial coefficients corresponding to spectral curves of genus one
zbMATH Open document ID: 1330.13043
DOI: 10.1134/S1064562415030126
author: Alexander Zheglov
author: Andrey Mironov
published in: Doklady Mathematics
publication date: 2015-09-28T00:00:00Z
review text: 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.
reviewed by: Ahmed Lesfari
Mathematics Subject Classification ID: 13N10
Mathematics Subject Classification ID: 14H70
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K20
zbMATH DE Number: 6485662
zbMATH Keywords: differential operators
zbMATH Keywords: spectral curves
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6485662