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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Volume 259, Pages 39–63 (Mi tm568)  
This article is cited in 4 scientific papers (total in 4 papers)

Analytic Geometry and Semi-classical Analysis

M. D. Garay

International School for Advanced Studies (SISSA)
Full-text PDF (337 kB) Citations (4)
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Abstract: We study deformation theory for quantum integrable systems and prove several theorems concerning the Gevrey convergence and the unicity of perturbative expansions.
Received in December 2006
English version:
Proceedings of the Steklov Institute of Mathematics, 2007, Volume 259, Pages 35–59
DOI: https://doi.org/10.1134/S0081543807040049
Bibliographic databases:
UDC: 517.988
Language: English
Citation: M. D. Garay, “Analytic Geometry and Semi-classical Analysis”, 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, 39–63; Proc. Steklov Inst. Math., 259 (2007), 35–59
Citation in format AMSBIB
\Bibitem{Gar07}
\by M.~D.~Garay
\paper Analytic Geometry and Semi-classical Analysis
\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 39--63
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm568}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2433676}
\zmath{https://zbmath.org/?q=an:1161.58013}
\elib{https://elibrary.ru/item.asp?id=9572727}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2007
\vol 259
\pages 35--59
\crossref{https://doi.org/10.1134/S0081543807040049}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38849184746}
Linking options:
  • https://www.mathnet.ru/eng/tm568
  • https://www.mathnet.ru/eng/tm/v259/p39
    • This publication is cited in the following 4 articles:
    1. Kourliouros K., “Singularities of Functions on the Martinet Plane, Constrained Hamiltonian Systems and Singular Lagrangians”, J. Dyn. Control Syst., 21:3 (2015), 401–422  crossref  mathscinet  zmath  isi  scopus
    2. Lesfari A., “Algebraic integrability: The Adler-Van Moerbeke approach”, Regul. Chaotic Dyn., 16:3-4 (2011), 187–209  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    3. Garay M.D., “Perturbative expansions in quantum mechanics”, Ann. Inst. Fourier (Grenoble), 59:5 (2009), 2061–2101  crossref  mathscinet  zmath  isi  scopus
    4. M. D. Garay, “Vanishing cycles in complex symplectic geometry”, Mosc. Math. J., 8:1 (2008), 73–90  mathnet  crossref  mathscinet  zmath
    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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