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Regular and Chaotic Dynamics, 2002, Volume 7, Issue 4, Pages 399–424
DOI: https://doi.org/10.1070/RD2002v007n04ABEH000219 (Mi rcd826) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Weyl Algebra, Bispectral Operators and Dynamics of Poles

E. Horozov

Department of Mathematics and Informatics, Sofia University, 5 J. Bourchier Blvd., Sofia 1126, Bulgaria
Citations (1)
DOI: https://doi.org/10.1070/RD2002v007n04ABEH000219
Abstract: The present paper reviews some new results in the study of the bispectral problem. We describe all bispectral operators in the Weyl algebra and the Darboux transformations of them. The dynamics of their poles is shown to be connected with the KP-hierarchy. The exposition is intended for readers with some experience in the subject. On the other hand being self-contained it can be used for a first acquaintance with the subject of bispectral operators.
Received: 25.03.2002
Bibliographic databases:
Document Type: Article
MSC: 58F07, 58F05, 70E15
Language: English
Citation: E. Horozov, “The Weyl Algebra, Bispectral Operators and Dynamics of Poles”, Regul. Chaotic Dyn., 7:4 (2002), 399–424
Citation in format AMSBIB
\Bibitem{Hor02}
\by E.~Horozov
\paper The Weyl Algebra, Bispectral Operators and Dynamics of Poles
\jour Regul. Chaotic Dyn.
\yr 2002
\vol 7
\issue 4
\pages 399--424
\mathnet{http://mi.mathnet.ru/rcd826}
\crossref{https://doi.org/10.1070/RD2002v007n04ABEH000219}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1957273}
\zmath{https://zbmath.org/?q=an:1034.34100}
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