Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Funktsional'nyi Analiz i ego Prilozheniya, 1998, Volume 32, Issue 2, Pages 8–25
DOI: https://doi.org/10.4213/faa410 (Mi faa410) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Algebraic Integrability of the Two-Body Ruijsenaars Operator

A. N. Varchenkoa, G. Felderb

a Université Pierre & Marie Curie, Paris VI
b University of North Carolina Wilmington
Full-text PDF (1659 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa410
Received: 10.10.1997
English version:
Functional Analysis and Its Applications, 1998, Volume 32, Issue 2, Pages 81–92
DOI: https://doi.org/10.1007/BF02482594
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. N. Varchenko, G. Felder, “Algebraic Integrability of the Two-Body Ruijsenaars Operator”, Funktsional. Anal. i Prilozhen., 32:2 (1998), 8–25; Funct. Anal. Appl., 32:2 (1998), 81–92
Citation in format AMSBIB
\Bibitem{VarFel98}
\by A.~N.~Varchenko, G.~Felder
\paper Algebraic Integrability of the Two-Body Ruijsenaars Operator
\jour Funktsional. Anal. i Prilozhen.
\yr 1998
\vol 32
\issue 2
\pages 8--25
\mathnet{http://mi.mathnet.ru/faa410}
\crossref{https://doi.org/10.4213/faa410}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1647820}
\zmath{https://zbmath.org/?q=an:0924.39011}
\transl
\jour Funct. Anal. Appl.
\yr 1998
\vol 32
\issue 2
\pages 81--92
\crossref{https://doi.org/10.1007/BF02482594}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000077334000002}
Linking options:
  • https://www.mathnet.ru/eng/faa410
  • https://doi.org/10.4213/faa410
  • https://www.mathnet.ru/eng/faa/v32/i2/p8
    • This publication is cited in the following 9 articles:
    1. Langmann E., Noumi M., Shiraishi J., “Construction of Eigenfunctions For the Elliptic Ruijsenaars Difference Operators”, Commun. Math. Phys., 391:3 (2022), 901–950  crossref  isi
    2. Rains E.M., Sun Y., Varchenko A., “Affine Macdonald Conjectures and Special Values of Felder-Varchenko Functions”, Sel. Math.-New Ser., 24:2 (2018), 1549–1591  crossref  mathscinet  zmath  isi  scopus
    3. Rimanyi R., Varchenko A., “Dynamical Gelfand–Zetlin algebra and equivariant cohomology of Grassmannians”, J. Knot Theory Ramifications, 25:12, SI (2016), 1642013  crossref  mathscinet  zmath  isi  elib  scopus
    4. Oleg Chalykh, “Bethe Ansatz for the Ruijsenaars Model of BC1-Type”, SIGMA, 3 (2007), 028, 9 pp.  mathnet  crossref  mathscinet  zmath
    5. Treibich, A, “Difference analogs of elliptic KdV solitons and Schrodinger operators”, International Mathematics Research Notices, 2003, no. 6, 313  crossref  mathscinet  zmath  isi
    6. Ruijsenaars, SNM, “Hilbert space theory for reflectionless relativistic potentials”, Publications of the Research Institute For Mathematical Sciences, 36:6 (2000), 707  crossref  mathscinet  zmath  isi  scopus
    7. Zabrodin, A, “Commuting difference operators with elliptic coefficients from Baxter's vacuum vectors”, Journal of Physics A-Mathematical and General, 33:20 (2000), 3825  crossref  mathscinet  zmath  adsnasa  isi  scopus
    8. S. N. M. Ruijsenaars, Calogero—Moser— Sutherland Models, 2000, 421  crossref
    9. Zabrodin, A, “On the spectral curve of the difference Lame operator”, International Mathematics Research Notices, 1999, no. 11, 589  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:500
    Full-text PDF :210
    References:70
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025