Commuting Ordinary Differential Operators and the Dixmier Test

The Burchnall-Chaundy problem is classical in differential algebra, seeking to describe all commutative subalgebras of a ring of ordinary differential operators whose coefficients are functions in a given class. It received less attention when posed in the (first) Weyl algebra, namely for polynomial...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2019
Main Authors: Previato, E., Rueda, S.L., Zurro, M.-A.
Format: Article
Language:English
Published: Інститут математики НАН України 2019
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210287
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Commuting Ordinary Differential Operators and the Dixmier Test / E. Previato, S.L. Rueda, M.-A. Zurro // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 46 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine