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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Volume 259, Pages 203–242 (Mi tm577)  
This article is cited in 2 scientific papers (total in 2 papers)

Noncommutative Structures

D. V. Treschev

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (407 kB) Citations (2)
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Abstract: We propose a method for constructing noncommutative analogs of objects from classical calculus, differential geometry, topology, dynamical systems, etc. The standard (commutative) objects can be obtained from noncommutative ones by natural projections (a set of canonical homomorphisms). The approach is ideologically close to the noncommutative geometry of A. Connes but differs from it in technical details.
Received in February 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2007, Volume 259, Pages 196–235
DOI: https://doi.org/10.1134/S008154380704013X
Bibliographic databases:
Document Type: Article
UDC: 530.145
Language: Russian
Citation: D. V. Treschev, “Noncommutative Structures”, Analysis and singularities. Part 2, Collected papers. Dedicated to academician Vladimir Igorevich Arnold on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 259, Nauka, MAIK «Nauka/Inteperiodika», M., 2007, 203–242; Proc. Steklov Inst. Math., 259 (2007), 196–235
Citation in format AMSBIB
\Bibitem{Tre07}
\by D.~V.~Treschev
\paper Noncommutative Structures
\inbook Analysis and singularities. Part~2
\bookinfo Collected papers. Dedicated to academician Vladimir Igorevich Arnold on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2007
\vol 259
\pages 203--242
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm577}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2433685}
\zmath{https://zbmath.org/?q=an:1161.58006}
\elib{https://elibrary.ru/item.asp?id=9572736}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2007
\vol 259
\pages 196--235
\crossref{https://doi.org/10.1134/S008154380704013X}
\elib{https://elibrary.ru/item.asp?id=13556042}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38849144699}
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  • https://www.mathnet.ru/eng/tm577
  • https://www.mathnet.ru/eng/tm/v259/p203
    • This publication is cited in the following 2 articles:
    1. Anikin A., “Non-commutative normal form, spectrum and inverse problem”, Asymptotic Anal., 101:4 (2017), 207–225  crossref  mathscinet  zmath  isi  scopus
    2. A. Yu. Anikin, “Quantum Birkhoff normal forms”, Theoret. and Math. Phys., 160:3 (2009), 1274–1291  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    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:599
    Full-text PDF :174
    References:107
     
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