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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1999, Volume 225, Pages 153–159 (Mi tm717)  
This article is cited in 4 scientific papers (total in 4 papers)

Bispectral Symmetry, the Weyl Algebra and Differential Operators on Curves

G. Wilson

Imperial College, Department of Mathematics
Full-text PDF (1010 kB) Citations (4)
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Abstract: A theorem of Cannings and Holland can be interpreted as identifying the space of rational solutions to the KP hierarchy with the space of isomorphism classes of right ideals in the Weyl algebra. The article sketches some applications of this connection.
Received in December 1998
Bibliographic databases:
UDC: 517.9
Language: English
Citation: G. Wilson, “Bispectral Symmetry, the Weyl Algebra and Differential Operators on Curves”, Solitons, geometry, and topology: on the crossroads, Collection of papers dedicated to the 60th anniversary of academician Sergei Petrovich Novikov, Trudy Mat. Inst. Steklova, 225, Nauka, MAIK «Nauka/Inteperiodika», M., 1999, 153–159; Proc. Steklov Inst. Math., 225 (1999), 141–147
Citation in format AMSBIB
\Bibitem{Wil99}
\by G.~Wilson
\paper Bispectral Symmetry, the Weyl Algebra and Differential Operators on Curves
\inbook Solitons, geometry, and topology: on the crossroads
\bookinfo Collection of papers dedicated to the 60th anniversary of academician Sergei Petrovich Novikov
\serial Trudy Mat. Inst. Steklova
\yr 1999
\vol 225
\pages 153--159
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm717}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1725937}
\zmath{https://zbmath.org/?q=an:1037.14013}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1999
\vol 225
\pages 141--147
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  • https://www.mathnet.ru/eng/tm717
  • https://www.mathnet.ru/eng/tm/v225/p153
    • This publication is cited in the following 4 articles:
    1. Ben-Zvi D., Nevins T., “D-bundles and integrable hierarchies”, J Eur Math Soc (JEMS), 13:6 (2011), 1505–1567  mathscinet  zmath  isi
    2. Ben-Zvi D., Nevins T., “From solitons to many–body systems”, Pure and Applied Mathematics Quarterly, 4:2 (2008), 319–361  crossref  mathscinet  zmath  isi
    3. Horozov E., Milanov T., “Fuchsian bispectral operators”, Bulletin Des Sciences Mathematiques, 126:3 (2002), 161–192  crossref  mathscinet  zmath  isi  scopus  scopus
    4. Berest Y., Wilson G., “Automorphisms and ideals of the Weyl algebra”, Mathematische Annalen, 318:1 (2000), 127–147  crossref  mathscinet  zmath  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    Abstract page:372
    Full-text PDF :145
    References:68
    First page:4
     
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